57130617568416 has 288 divisors, whose sum is σ = 194436140592960. Its totient is φ = 14554283433984.

The previous prime is 57130617568393. The next prime is 57130617568421. The reversal of 57130617568416 is 61486571603175.

57130617568416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57130617568416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17281095 + ... + 20319878.

It is an arithmetic number, because the mean of its divisors is an integer number (675125488170).

Almost surely, 2^{57130617568416} is an apocalyptic number.

57130617568416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57130617568416 is an abundant number, since it is smaller than the sum of its proper divisors (137305523024544).

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

57130617568416 is a wasteful number, since it uses less digits than its factorization.

57130617568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37601036 (or 37601021 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 57130617568416 in words is "fifty-seven trillion, one hundred thirty billion, six hundred seventeen million, five hundred sixty-eight thousand, four hundred sixteen".