56513909760 has 704 divisors, whose sum is σ = 228872024064. Its totient is φ = 11560550400.

The previous prime is 56513909759. The next prime is 56513909773. The reversal of 56513909760 is 6790931565.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×56513909760² (a number of 22 digits) contains 22 as substring.

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, 83972784 + ... + 83973456.

Almost surely, 2^56513909760 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 56513909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114436012032).

56513909760 is an abundant number, since it is smaller than the sum of its proper divisors (172358114304).

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

56513909760 is a wasteful number, since it uses less digits than its factorization.

56513909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 56513909760 in words is "fifty-six billion, five hundred thirteen million, nine hundred nine thousand, seven hundred sixty".