50871920400 has 300 divisors, whose sum is σ = 208658347392. Its totient is φ = 11627815680.

The previous prime is 50871920369. The next prime is 50871920441. The reversal of 50871920400 is 402917805.

50871920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 114649 + ... + 338951.

Almost surely, 2^50871920400 is an apocalyptic number.

50871920400 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 50871920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104329173696).

50871920400 is an abundant number, since it is smaller than the sum of its proper divisors (157786426992).

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

50871920400 is a wasteful number, since it uses less digits than its factorization.

50871920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224340 (or 224320 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 50871920400 in words is "fifty billion, eight hundred seventy-one million, nine hundred twenty thousand, four hundred".