57515964000 has 1152 divisors, whose sum is σ = 232935865344. Its totient is φ = 12257280000.

The previous prime is 57515963993. The next prime is 57515964007. The reversal of 57515964000 is 46951575.

It is an interprime number because it is at equal distance from previous prime (57515963993) and next prime (57515964007).

It is a super-2 number, since 2×57515964000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57515964007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 810083965 + ... + 810084035.

It is an arithmetic number, because the mean of its divisors is an integer number (202201272).

Almost surely, 2^57515964000 is an apocalyptic number.

57515964000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57515964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116467932672).

57515964000 is an abundant number, since it is smaller than the sum of its proper divisors (175419901344).

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

57515964000 is a wasteful number, since it uses less digits than its factorization.

57515964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 57515964000 in words is "fifty-seven billion, five hundred fifteen million, nine hundred sixty-four thousand".