57925328256 has 384 divisors, whose sum is σ = 179397763200. Its totient is φ = 18397393920.

The previous prime is 57925328191. The next prime is 57925328297. The reversal of 57925328256 is 65282352975.

It is a happy number.

57925328256 is a `hidden beast` number, since 57 + 9 + 2 + 532 + 8 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×57925328256³ (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355370031 + ... + 355370193.

It is an arithmetic number, because the mean of its divisors is an integer number (467181675).

Almost surely, 2^57925328256 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 57925328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89698881600).

57925328256 is an abundant number, since it is smaller than the sum of its proper divisors (121472434944).

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

57925328256 is a wasteful number, since it uses less digits than its factorization.

57925328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 306 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 57925328256 in words is "fifty-seven billion, nine hundred twenty-five million, three hundred twenty-eight thousand, two hundred fifty-six".