57856506605568 has 728 divisors, whose sum is σ = 189589439056320. Its totient is φ = 17499817082880.

The previous prime is 57856506605561. The next prime is 57856506605587. The reversal of 57856506605568 is 86550660565875.

It is a happy number.

57856506605568 is a `hidden beast` number, since 5 + 7 + 8 + 5 + 6 + 5 + 0 + 6 + 60 + 556 + 8 = 666.

It is a super-3 number, since 3×57856506605568³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57856506605496 and 57856506605505.

It is not an unprimeable number, because it can be changed into a prime (57856506605561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22433696503 + ... + 22433699081.

Almost surely, 2^{57856506605568} 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 57856506605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94794719528160).

57856506605568 is an abundant number, since it is smaller than the sum of its proper divisors (131732932450752).

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

57856506605568 is an equidigital number, since it uses as much as digits as its factorization.

57856506605568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 1814400000, while the sum is 72.

The spelling of 57856506605568 in words is "fifty-seven trillion, eight hundred fifty-six billion, five hundred six million, six hundred five thousand, five hundred sixty-eight".