57479129136 has 480 divisors, whose sum is σ = 196894064640. Its totient is φ = 15415142400.

The previous prime is 57479129111. The next prime is 57479129153. The reversal of 57479129136 is 63192197475.

57479129136 is a `hidden beast` number, since 57 + 479 + 1 + 2 + 91 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81070350 + ... + 81071058.

It is an arithmetic number, because the mean of its divisors is an integer number (410195968).

Almost surely, 2^57479129136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57479129136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98447032320).

57479129136 is an abundant number, since it is smaller than the sum of its proper divisors (139414935504).

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

57479129136 is a wasteful number, since it uses less digits than its factorization.

57479129136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 57479129136 in words is "fifty-seven billion, four hundred seventy-nine million, one hundred twenty-nine thousand, one hundred thirty-six".