50935910400 has 936 divisors, whose sum is σ = 199642847040. Its totient is φ = 12846366720.

The previous prime is 50935910359. The next prime is 50935910411. The reversal of 50935910400 is 401953905.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572313556 + ... + 572313644.

It is an arithmetic number, because the mean of its divisors is an integer number (213293640).

Almost surely, 2^50935910400 is an apocalyptic number.

50935910400 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 50935910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99821423520).

50935910400 is an abundant number, since it is smaller than the sum of its proper divisors (148706936640).

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

50935910400 is an equidigital number, since it uses as much as digits as its factorization.

50935910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

50935910400 divided by its product of nonzero digits (24300) gives a triangular number (2096128 = T₂₀₄₇).

The spelling of 50935910400 in words is "fifty billion, nine hundred thirty-five million, nine hundred ten thousand, four hundred".