57061290160 has 160 divisors (see below), whose sum is σ = 160702392960. Its totient is φ = 18394300416.

The previous prime is 57061290133. The next prime is 57061290191. The reversal of 57061290160 is 6109216075.

It is a super-3 number, since 3×57061290160³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11697642 + ... + 11702518.

It is an arithmetic number, because the mean of its divisors is an integer number (1004389956).

Almost surely, 2^57061290160 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 57061290160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80351196480).

57061290160 is an abundant number, since it is smaller than the sum of its proper divisors (103641102800).

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

57061290160 is a wasteful number, since it uses less digits than its factorization.

57061290160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 57061290160 in words is "fifty-seven billion, sixty-one million, two hundred ninety thousand, one hundred sixty".