I haven't been a member of this site long, but one of the things that I have seen repeatedly is that it is not the income, rather the expenses you should focus on.
For example, to retain the same lifestyle you currently have now, you would need $502,000. This would allow safe withdrawal rate (4%) of $20,080 per annum, which would cover:
By assuming a 5% growth on savings & investments per year, if you were to continue to save 50% ($24k) per annum, you would reach the $502k in just 15 years (and that is keeping the same apartment, same lifestyle you have now).
Now if the reason you are living where you live is for work, then we can have a relook at your expenses estimating travelling costs:
Would need a further 268k, which would take 9.5 years.
I'd recommend the book "Your Money or Your Life" and pay particular attention to how the author focuses on work expenses, and how to minimise your outgoings.
If you didnt work, you would still pay rent, though I'm assuming it wouldnt be that high, cell phone costs would be a lot lower.... I'd say 10 years, and you'll have enough to travel the World :)