According to research and scientists it's estimated that a person can go up to 11 days without sleep and probably by the 12th or 14th day the person is likely to die due to lack of sleep.
I sure wouldn't want to stay up that long though because just staying up one night makes me feel awful the next day.
Sleep is very important to our health so always try and get some sleep and don't stay awake all night if you don't need too.