57502151664 has 320 divisors, whose sum is σ = 162739584000. Its totient is φ = 17456947200.

The previous prime is 57502151633. The next prime is 57502151677. The reversal of 57502151664 is 46615120575.

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 63 ways as a sum of consecutive naturals, for example, 288955437 + ... + 288955635.

It is an arithmetic number, because the mean of its divisors is an integer number (508561200).

Almost surely, 2^57502151664 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 57502151664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792000).

57502151664 is an abundant number, since it is smaller than the sum of its proper divisors (105237432336).

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

57502151664 is a wasteful number, since it uses less digits than its factorization.

57502151664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 57502151664 in words is "fifty-seven billion, five hundred two million, one hundred fifty-one thousand, six hundred sixty-four".