57557606160 has 160 divisors (see below), whose sum is σ = 184875310080. Its totient is φ = 14795827200.

The previous prime is 57557606159. The next prime is 57557606273. The reversal of 57557606160 is 6160675575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4594305 + ... + 4606815.

It is an arithmetic number, because the mean of its divisors is an integer number (1155470688).

Almost surely, 2^57557606160 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 57557606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92437655040).

57557606160 is an abundant number, since it is smaller than the sum of its proper divisors (127317703920).

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

57557606160 is a wasteful number, since it uses less digits than its factorization.

57557606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 57557606160 in words is "fifty-seven billion, five hundred fifty-seven million, six hundred six thousand, one hundred sixty".