56070448560 has 1600 divisors, whose sum is σ = 256676428800. Its totient is φ = 11036196864.

The previous prime is 56070448519. The next prime is 56070448607. The reversal of 56070448560 is 6584407065.

56070448560 is a `hidden beast` number, since 560 + 7 + 0 + 4 + 4 + 85 + 6 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 630004996 + ... + 630005084.

It is an arithmetic number, because the mean of its divisors is an integer number (160422768).

Almost surely, 2^56070448560 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 56070448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338214400).

56070448560 is an abundant number, since it is smaller than the sum of its proper divisors (200605980240).

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

56070448560 is a wasteful number, since it uses less digits than its factorization.

56070448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56070448560 in words is "fifty-six billion, seventy million, four hundred forty-eight thousand, five hundred sixty".