57633116564460 has 48 divisors (see below), whose sum is σ = 161405176990176. Its totient is φ = 15365740549632.

The previous prime is 57633116564459. The next prime is 57633116564549. The reversal of 57633116564460 is 6446561133675.

57633116564460 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 2×57633116564460² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57633116564460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96278329 + ... + 96875088.

It is an arithmetic number, because the mean of its divisors is an integer number (3362607853962).

Almost surely, 2^{57633116564460} is an apocalyptic number.

It is an amenable number.

57633116564460 is an abundant number, since it is smaller than the sum of its proper divisors (103772060425716).

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

57633116564460 is a wasteful number, since it uses less digits than its factorization.

57633116564460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193158402 (or 193158400 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 57633116564460 in words is "fifty-seven trillion, six hundred thirty-three billion, one hundred sixteen million, five hundred sixty-four thousand, four hundred sixty".