57124974720 has 256 divisors, whose sum is σ = 205049180160. Its totient is φ = 13401600000.

The previous prime is 57124974707. The next prime is 57124974737. The reversal of 57124974720 is 2747942175.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57124974720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611095 + ... + 698345.

It is an arithmetic number, because the mean of its divisors is an integer number (800973360).

Almost surely, 2^57124974720 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 57124974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102524590080).

57124974720 is an abundant number, since it is smaller than the sum of its proper divisors (147924205440).

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

57124974720 is a wasteful number, since it uses less digits than its factorization.

57124974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87315 (or 87303 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 57124974720 in words is "fifty-seven billion, one hundred twenty-four million, nine hundred seventy-four thousand, seven hundred twenty".