57795257160 has 128 divisors (see below), whose sum is σ = 202790448000. Its totient is φ = 14600901888.

The previous prime is 57795257147. The next prime is 57795257249. The reversal of 57795257160 is 6175259775.

57795257160 is a `hidden beast` number, since 5 + 7 + 7 + 9 + 5 + 2 + 571 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57795257097 and 57795257106.

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, 1387747 + ... + 1428786.

It is an arithmetic number, because the mean of its divisors is an integer number (1584300375).

Almost surely, 2^57795257160 is an apocalyptic number.

It is an amenable number.

57795257160 is an abundant number, since it is smaller than the sum of its proper divisors (144995190840).

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

57795257160 is a wasteful number, since it uses less digits than its factorization.

57795257160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816572 (or 2816562 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 57795257160 in words is "fifty-seven billion, seven hundred ninety-five million, two hundred fifty-seven thousand, one hundred sixty".