52916157633024 has 880 divisors, whose sum is σ = 184264860014400. Its totient is φ = 14867423354880.

The previous prime is 52916157632959. The next prime is 52916157633037. The reversal of 52916157633024 is 42033675161925.

52916157633024 is a `hidden beast` number, since 5 + 2 + 9 + 1 + 61 + 576 + 3 + 3 + 0 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 12909526527 + ... + 12909530625.

It is an arithmetic number, because the mean of its divisors is an integer number (209391886380).

Almost surely, 2^{52916157633024} is an apocalyptic number.

52916157633024 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 52916157633024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92132430007200).

52916157633024 is an abundant number, since it is smaller than the sum of its proper divisors (131348702381376).

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

52916157633024 is an frugal number, since it uses more digits than its factorization.

52916157633024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 52916157633024 in words is "fifty-two trillion, nine hundred sixteen billion, one hundred fifty-seven million, six hundred thirty-three thousand, twenty-four".