57952585360 has 80 divisors (see below), whose sum is σ = 136455891264. Its totient is φ = 22886171136.

The previous prime is 57952585321. The next prime is 57952585399. The reversal of 57952585360 is 6358525975.

It is an interprime number because it is at equal distance from previous prime (57952585321) and next prime (57952585399).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 17813494 + ... + 17816746.

Almost surely, 2^57952585360 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 57952585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68227945632).

57952585360 is an abundant number, since it is smaller than the sum of its proper divisors (78503305904).

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

57952585360 is a wasteful number, since it uses less digits than its factorization.

57952585360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 55.

The spelling of 57952585360 in words is "fifty-seven billion, nine hundred fifty-two million, five hundred eighty-five thousand, three hundred sixty".