50338713600 has 1404 divisors, whose sum is σ = 227001311264. Its totient is φ = 10829168640.

The previous prime is 50338713577. The next prime is 50338713631. The reversal of 50338713600 is 631783305.

50338713600 is a `hidden beast` number, since 5 + 0 + 3 + 38 + 7 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2961100792 + ... + 2961100808.

Almost surely, 2^50338713600 is an apocalyptic number.

50338713600 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 50338713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113500655632).

50338713600 is an abundant number, since it is smaller than the sum of its proper divisors (176662597664).

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

50338713600 is an equidigital number, since it uses as much as digits as its factorization.

50338713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 50338713600 in words is "fifty billion, three hundred thirty-eight million, seven hundred thirteen thousand, six hundred".