57562807680 has 512 divisors, whose sum is σ = 235654272000. Its totient is φ = 13006946304.

The previous prime is 57562807669. The next prime is 57562807699. The reversal of 57562807680 is 8670826575.

57562807680 is a `hidden beast` number, since 5 + 7 + 5 + 628 + 0 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10762767 + ... + 10768113.

It is an arithmetic number, because the mean of its divisors is an integer number (460262250).

Almost surely, 2^57562807680 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 57562807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117827136000).

57562807680 is an abundant number, since it is smaller than the sum of its proper divisors (178091464320).

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

57562807680 is a wasteful number, since it uses less digits than its factorization.

57562807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 57562807680 in words is "fifty-seven billion, five hundred sixty-two million, eight hundred seven thousand, six hundred eighty".