50917442400 has 504 divisors, whose sum is σ = 203336220024. Its totient is φ = 12342067200.

The previous prime is 50917442377. The next prime is 50917442417. The reversal of 50917442400 is 424471905.

It is a happy number.

50917442400 is a `hidden beast` number, since 509 + 1 + 74 + 42 + 40 + 0 = 666.

50917442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 83 ways as a sum of consecutive naturals, for example, 6411232 + ... + 6419168.

It is an arithmetic number, because the mean of its divisors is an integer number (403444881).

Almost surely, 2^50917442400 is an apocalyptic number.

50917442400 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 50917442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101668110012).

50917442400 is an abundant number, since it is smaller than the sum of its proper divisors (152418777624).

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

50917442400 is a wasteful number, since it uses less digits than its factorization.

50917442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 50917442400 in words is "fifty billion, nine hundred seventeen million, four hundred forty-two thousand, four hundred".