50919732864 has 1024 divisors, whose sum is σ = 207277056000. Its totient is φ = 11877580800.

The previous prime is 50919732863. The next prime is 50919732869. The reversal of 50919732864 is 46823791905.

50919732864 is a `hidden beast` number, since 509 + 1 + 9 + 73 + 2 + 8 + 64 = 666.

50919732864 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 2×50919732864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 50919732864.

It is not an unprimeable number, because it can be changed into a prime (50919732863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141837517 + ... + 141837875.

It is an arithmetic number, because the mean of its divisors is an integer number (202419000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅50919732864 = 101839465728, but 3⋅50919732864 = 152759198592 is not.

Almost surely, 2^50919732864 is an apocalyptic number.

50919732864 is a gapful number since it is divisible by the number (54) 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 50919732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528000).

50919732864 is an abundant number, since it is smaller than the sum of its proper divisors (156357323136).

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

50919732864 is a wasteful number, since it uses less digits than its factorization.

50919732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 50919732864 in words is "fifty billion, nine hundred nineteen million, seven hundred thirty-two thousand, eight hundred sixty-four".