57970492174368 has 72 divisors (see below), whose sum is σ = 165480407059968. Its totient is φ = 19250023992192.

The previous prime is 57970492174319. The next prime is 57970492174409. The reversal of 57970492174368 is 86347129407975.

57970492174368 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 0 + 4 + 92 + 174 + 368 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 57970492174296 and 57970492174305.

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, 382598080 + ... + 382749567.

It is an arithmetic number, because the mean of its divisors is an integer number (2298338986944).

It is a 1-persistent number, because it is pandigital, but 2⋅57970492174368 = 115940984348736 is not.

Almost surely, 2^{57970492174368} is an apocalyptic number.

It is an amenable number.

57970492174368 is an abundant number, since it is smaller than the sum of its proper divisors (107509914885600).

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

57970492174368 is a wasteful number, since it uses less digits than its factorization.

57970492174368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765347926 (or 765347915 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 57970492174368 in words is "fifty-seven trillion, nine hundred seventy billion, four hundred ninety-two million, one hundred seventy-four thousand, three hundred sixty-eight".