50934988800 has 540 divisors, whose sum is σ = 187459613796. Its totient is φ = 13212057600.

The previous prime is 50934988799. The next prime is 50934988823. The reversal of 50934988800 is 888943905.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13627293696 + 37307695104 = 116736^2 + 193152^2 .

It is a super-2 number, since 2×50934988800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151142232 + ... + 151142568.

Almost surely, 2^50934988800 is an apocalyptic number.

50934988800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50934988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93729806898).

50934988800 is an abundant number, since it is smaller than the sum of its proper divisors (136524624996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50934988800 is a wasteful number, since it uses less digits than its factorization.

50934988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 50934988800 in words is "fifty billion, nine hundred thirty-four million, nine hundred eighty-eight thousand, eight hundred".