57205578598560 has 768 divisors, whose sum is σ = 247375566950400. Its totient is φ = 12052575055872.

The previous prime is 57205578598547. The next prime is 57205578598561. The reversal of 57205578598560 is 6589587550275.

57205578598560 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 5 + 5 + 7 + 8 + 59 + 8 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57205578598561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19913259 + ... + 22604181.

It is an arithmetic number, because the mean of its divisors is an integer number (322103602800).

Almost surely, 2^{57205578598560} 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 57205578598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123687783475200).

57205578598560 is an abundant number, since it is smaller than the sum of its proper divisors (190169988351840).

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

57205578598560 is a wasteful number, since it uses less digits than its factorization.

57205578598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691010 (or 2690996 counting only the distinct ones).

The product of its (nonzero) digits is 1058400000, while the sum is 72.

The spelling of 57205578598560 in words is "fifty-seven trillion, two hundred five billion, five hundred seventy-eight million, five hundred ninety-eight thousand, five hundred sixty".