56542973760 has 1680 divisors, whose sum is σ = 265702456656. Its totient is φ = 10924720128.

The previous prime is 56542973741. The next prime is 56542973783. The reversal of 56542973760 is 6737924565.

56542973760 is a `hidden beast` number, since 5 + 6 + 542 + 9 + 7 + 37 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 669360384 + 55873613376 = 25872^2 + 236376^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a junction number, because it is equal to n+sod(n) for n = 56542973697 and 56542973706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1528188462 + ... + 1528188498.

Almost surely, 2^56542973760 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 56542973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132851228328).

56542973760 is an abundant number, since it is smaller than the sum of its proper divisors (209159482896).

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

56542973760 is a wasteful number, since it uses less digits than its factorization.

56542973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 56542973760 in words is "fifty-six billion, five hundred forty-two million, nine hundred seventy-three thousand, seven hundred sixty".