57504214656 has 320 divisors, whose sum is σ = 196403676480. Its totient is φ = 16360538112.

The previous prime is 57504214643. The next prime is 57504214693. The reversal of 57504214656 is 65641240575.

57504214656 is a `hidden beast` number, since 57 + 504 + 2 + 1 + 46 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18650491 + ... + 18653573.

It is an arithmetic number, because the mean of its divisors is an integer number (613761489).

Almost surely, 2^57504214656 is an apocalyptic number.

57504214656 is a gapful number since it is divisible by the number (56) 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 57504214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98201838240).

57504214656 is an abundant number, since it is smaller than the sum of its proper divisors (138899461824).

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

57504214656 is a wasteful number, since it uses less digits than its factorization.

57504214656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57504214656 in words is "fifty-seven billion, five hundred four million, two hundred fourteen thousand, six hundred fifty-six".