57611349457536 has 640 divisors, whose sum is σ = 180506523600000. Its totient is φ = 16278684377088.

The previous prime is 57611349457517. The next prime is 57611349457639. The reversal of 57611349457536 is 63575494311675.

It is a super-2 number, since 2×57611349457536² (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 79 ways as a sum of consecutive naturals, for example, 36954039925 + ... + 36954041483.

It is an arithmetic number, because the mean of its divisors is an integer number (282041443125).

Almost surely, 2^{57611349457536} is an apocalyptic number.

57611349457536 is a gapful number since it is divisible by the number (56) 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 57611349457536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90253261800000).

57611349457536 is an abundant number, since it is smaller than the sum of its proper divisors (122895174142464).

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

57611349457536 is a wasteful number, since it uses less digits than its factorization.

57611349457536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1989 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 66.

The spelling of 57611349457536 in words is "fifty-seven trillion, six hundred eleven billion, three hundred forty-nine million, four hundred fifty-seven thousand, five hundred thirty-six".