57928416250320 has 2240 divisors, whose sum is σ = 262378155294720. Its totient is φ = 11536946380800.

The previous prime is 57928416250297. The next prime is 57928416250337. The reversal of 57928416250320 is 2305261482975.

57928416250320 is a `hidden beast` number, since 5 + 7 + 9 + 2 + 8 + 4 + 1 + 625 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14895450936 + ... + 14895454824.

It is a 1-persistent number, because it is pandigital, but 2⋅57928416250320 = 115856832500640 is not.

Almost surely, 2^{57928416250320} 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 57928416250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131189077647360).

57928416250320 is an abundant number, since it is smaller than the sum of its proper divisors (204449739044400).

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

57928416250320 is a wasteful number, since it uses less digits than its factorization.

57928416250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57928416250320 in words is "fifty-seven trillion, nine hundred twenty-eight billion, four hundred sixteen million, two hundred fifty thousand, three hundred twenty".