57825308864 has 56 divisors (see below), whose sum is σ = 118508044416. Its totient is φ = 27965952000.

The previous prime is 57825308857. The next prime is 57825308899. The reversal of 57825308864 is 46880352875.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4717784 + ... + 4730024.

Almost surely, 2^57825308864 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 57825308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59254022208).

57825308864 is an abundant number, since it is smaller than the sum of its proper divisors (60682735552).

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

57825308864 is a wasteful number, since it uses less digits than its factorization.

57825308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 57825308864 in words is "fifty-seven billion, eight hundred twenty-five million, three hundred eight thousand, eight hundred sixty-four".