57142959366528 has 768 divisors, whose sum is σ = 199423544947200. Its totient is φ = 15779178639360.

The previous prime is 57142959366509. The next prime is 57142959366539. The reversal of 57142959366528 is 82566395924175.

57142959366528 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 2 + 9 + 5 + 93 + 6 + 6 + 528 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28758408351 + ... + 28758410337.

It is an arithmetic number, because the mean of its divisors is an integer number (259666074150).

Almost surely, 2^{57142959366528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57142959366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99711772473600).

57142959366528 is an abundant number, since it is smaller than the sum of its proper divisors (142280585580672).

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

57142959366528 is a wasteful number, since it uses less digits than its factorization.

57142959366528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3267 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 57142959366528 in words is "fifty-seven trillion, one hundred forty-two billion, nine hundred fifty-nine million, three hundred sixty-six thousand, five hundred twenty-eight".