57120885002896 has 405 divisors, whose sum is σ = 134295833299761. Its totient is φ = 23507893094400.

The previous prime is 57120885002891. The next prime is 57120885002903. The reversal of 57120885002896 is 69820058802175.

The square root of 57120885002896 is 7557836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 54459027492496 + 2661857510400 = 7379636^2 + 1631520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57120885002891) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 315584999926 + ... + 315585000106.

Almost surely, 2^{57120885002896} is an apocalyptic number.

57120885002896 is the 7557836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57120885002896

57120885002896 is an abundant number, since it is smaller than the sum of its proper divisors (77174948296865).

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

57120885002896 is a wasteful number, since it uses less digits than its factorization.

57120885002896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 57120885002896 in words is "fifty-seven trillion, one hundred twenty billion, eight hundred eighty-five million, two thousand, eight hundred ninety-six".