57516112121664 has 56 divisors (see below), whose sum is σ = 173917767610048. Its totient is φ = 16433174891520.

The previous prime is 57516112121653. The next prime is 57516112121681. The reversal of 57516112121664 is 46612121161575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21397361797 + ... + 21397364484.

It is an arithmetic number, because the mean of its divisors is an integer number (3105674421608).

Almost surely, 2^{57516112121664} is an apocalyptic number.

It is an amenable number.

57516112121664 is an abundant number, since it is smaller than the sum of its proper divisors (116401655488384).

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

57516112121664 is a wasteful number, since it uses less digits than its factorization.

57516112121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42794726303 (or 42794726293 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 57516112121664 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-one thousand, six hundred sixty-four".