57516051968100 has 864 divisors, whose sum is σ = 217732424232960. Its totient is φ = 12542055552000.

The previous prime is 57516051968029. The next prime is 57516051968159. The reversal of 57516051968100 is 186915061575.

57516051968100 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 60 + 519 + 68 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×57516051968100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 308955247 + ... + 309141353.

It is an arithmetic number, because the mean of its divisors is an integer number (252005120640).

Almost surely, 2^{57516051968100} is an apocalyptic number.

57516051968100 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 57516051968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108866212116480).

57516051968100 is an abundant number, since it is smaller than the sum of its proper divisors (160216372264860).

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

57516051968100 is a wasteful number, since it uses less digits than its factorization.

57516051968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186241 (or 186231 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 57516051968100 in words is "fifty-seven trillion, five hundred sixteen billion, fifty-one million, nine hundred sixty-eight thousand, one hundred".