56380806720 has 1008 divisors, whose sum is σ = 239615520768. Its totient is φ = 11914076160.

The previous prime is 56380806679. The next prime is 56380806761. The reversal of 56380806720 is 2760808365.

56380806720 is a `hidden beast` number, since 5 + 638 + 0 + 8 + 0 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56380806679) and next prime (56380806761).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 443943297 + ... + 443943423.

Almost surely, 2^56380806720 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 56380806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119807760384).

56380806720 is an abundant number, since it is smaller than the sum of its proper divisors (183234714048).

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

56380806720 is a wasteful number, since it uses less digits than its factorization.

56380806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56380806720 in words is "fifty-six billion, three hundred eighty million, eight hundred six thousand, seven hundred twenty".