56313480960 has 864 divisors, whose sum is σ = 223919055360. Its totient is φ = 13436928000.

The previous prime is 56313480947. The next prime is 56313480973. The reversal of 56313480960 is 6908431365.

56313480960 is a `hidden beast` number, since 5 + 631 + 3 + 4 + 8 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56313480947) and next prime (56313480973).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372936885 + ... + 372937035.

Almost surely, 2^56313480960 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 56313480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111959527680).

56313480960 is an abundant number, since it is smaller than the sum of its proper divisors (167605574400).

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

56313480960 is a wasteful number, since it uses less digits than its factorization.

56313480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56313480960 in words is "fifty-six billion, three hundred thirteen million, four hundred eighty thousand, nine hundred sixty".