50557905600 has 504 divisors, whose sum is σ = 177119645760. Its totient is φ = 12623247360.

The previous prime is 50557905589. The next prime is 50557905613. The reversal of 50557905600 is 650975505.

50557905600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50557905600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282446311 + ... + 282446489.

Almost surely, 2^50557905600 is an apocalyptic number.

50557905600 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 50557905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88559822880).

50557905600 is an abundant number, since it is smaller than the sum of its proper divisors (126561740160).

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

50557905600 is a wasteful number, since it uses less digits than its factorization.

50557905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 42.

The spelling of 50557905600 in words is "fifty billion, five hundred fifty-seven million, nine hundred five thousand, six hundred".