57677908320 has 72 divisors (see below), whose sum is σ = 196825867056. Its totient is φ = 15380775168.

The previous prime is 57677908307. The next prime is 57677908331. The reversal of 57677908320 is 2380977675.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×57677908320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20025612 + ... + 20028491.

It is an arithmetic number, because the mean of its divisors is an integer number (2733692598).

Almost surely, 2^57677908320 is an apocalyptic number.

It is an amenable number.

57677908320 is an abundant number, since it is smaller than the sum of its proper divisors (139147958736).

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

57677908320 is a wasteful number, since it uses less digits than its factorization.

57677908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40054124 (or 40054113 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 57677908320 in words is "fifty-seven billion, six hundred seventy-seven million, nine hundred eight thousand, three hundred twenty".