56510016560 has 80 divisors (see below), whose sum is σ = 136115311872. Its totient is φ = 21795609600.

The previous prime is 56510016553. The next prime is 56510016683. The reversal of 56510016560 is 6561001565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×56510016560² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56510016560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645830 + ... + 728090.

Almost surely, 2^56510016560 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 56510016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68057655936).

56510016560 is an abundant number, since it is smaller than the sum of its proper divisors (79605295312).

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

56510016560 is a wasteful number, since it uses less digits than its factorization.

56510016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82582 (or 82576 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 56510016560 in words is "fifty-six billion, five hundred ten million, sixteen thousand, five hundred sixty".