57507816912 has 320 divisors, whose sum is σ = 186654720000. Its totient is φ = 14854275072.

The previous prime is 57507816907. The next prime is 57507816973. The reversal of 57507816912 is 21961870575.

It is a super-2 number, since 2×57507816912² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46042464 + ... + 46043712.

It is an arithmetic number, because the mean of its divisors is an integer number (583296000).

Almost surely, 2^57507816912 is an apocalyptic number.

57507816912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57507816912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360000).

57507816912 is an abundant number, since it is smaller than the sum of its proper divisors (129146903088).

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

57507816912 is a wasteful number, since it uses less digits than its factorization.

57507816912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 57507816912 in words is "fifty-seven billion, five hundred seven million, eight hundred sixteen thousand, nine hundred twelve".