57772509564672 has 108 divisors (see below), whose sum is σ = 190368443028400. Its totient is φ = 16506431299584.

The previous prime is 57772509564667. The next prime is 57772509564703. The reversal of 57772509564672 is 27646590527775.

57772509564672 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 2 + 50 + 9 + 564 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×57772509564672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57772509564672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1791046297 + ... + 1791078552.

Almost surely, 2^{57772509564672} is an apocalyptic number.

It is an amenable number.

57772509564672 is an abundant number, since it is smaller than the sum of its proper divisors (132595933463728).

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

57772509564672 is a wasteful number, since it uses less digits than its factorization.

57772509564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582124878 (or 3582124861 counting only the distinct ones).

The product of its (nonzero) digits is 1555848000, while the sum is 72.

The spelling of 57772509564672 in words is "fifty-seven trillion, seven hundred seventy-two billion, five hundred nine million, five hundred sixty-four thousand, six hundred seventy-two".