56064467520 has 280 divisors, whose sum is σ = 199909794744. Its totient is φ = 14914658304.

The previous prime is 56064467513. The next prime is 56064467549. The reversal of 56064467520 is 2576446065.

56064467520 is a `hidden beast` number, since 5 + 6 + 0 + 64 + 4 + 67 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6631170624 + 49433296896 = 81432^2 + 222336^2 .

It is a super-2 number, since 2×56064467520² (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 11843074 + ... + 11847806.

Almost surely, 2^56064467520 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 56064467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99954897372).

56064467520 is an abundant number, since it is smaller than the sum of its proper divisors (143845327224).

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

56064467520 is a wasteful number, since it uses less digits than its factorization.

56064467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 56064467520 in words is "fifty-six billion, sixty-four million, four hundred sixty-seven thousand, five hundred twenty".