56009640960 has 1584 divisors, whose sum is σ = 258904166976. Its totient is φ = 10892869632.

The previous prime is 56009640959. The next prime is 56009640961. The reversal of 56009640960 is 6904690065.

It is an interprime number because it is at equal distance from previous prime (56009640959) and next prime (56009640961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56009640961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1513774062 + ... + 1513774098.

Almost surely, 2^56009640960 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 56009640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129452083488).

56009640960 is an abundant number, since it is smaller than the sum of its proper divisors (202894526016).

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

56009640960 is a wasteful number, since it uses less digits than its factorization.

56009640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 56009640960 in words is "fifty-six billion, nine million, six hundred forty thousand, nine hundred sixty".