Trying to calculate the end of the next day in node.js

I'm trying to calculate the end of the next day for any given date as an expiry date.

So if the input is eg 10/26/2013 16:36:46 then I'd like to get 10/27/2013 23:59:59 and 7/31/2013 16:36:46 would give me 8/1/2013 23:59:59

It gets obviously difficult with leap years and when the next day is a new month. So I tried to use the dateParse function which gives me a number that I can easily add 86400000 (full day in milliseconds) and then I want to use basically the reverse of dateParse (turn a number into a date object) so that I can then take out the date component and replace the time component with 23:59:59

Here's my code which doesn't work - setTime doesn't seem to be the right function and makes my next_day variable "undefined"

    var next_day = call_start.dateParse + 86400000; // adding a full day to it
    next_day = next_day.setTime;
    var day = next_day.getDate;
    day = (day < 10 ? "0" : "") + day;
    var month = next_day.getMonth + 1;
    month = (month < 10 ? "0" : "") + month;
    var year = next_day.getFullYear;
    var hour = 23;
    var min = 59;
    var sec = 59;
    var expiry = year + ":" + month + ":" + day + ":" + hour + ":" + min + ":" + sec;
    console.log ('Streak expires at: ' + expiry);

You can use the set* functions to modify the date:

var date = new Date('7/31/2013 16:36:46');

date.setDate(date.getDate() + 1);
date.setHours(23);
date.setMinutes(59);
date.setSeconds(59);

console.log(date);
// Thu Aug 01 2013 23:59:59 GMT+0200 (CEST)