56006795520 has 864 divisors, whose sum is σ = 228115305600. Its totient is φ = 13060694016.

The previous prime is 56006795489. The next prime is 56006795557. The reversal of 56006795520 is 2559760065.

56006795520 is a `hidden beast` number, since 5 + 60 + 0 + 67 + 9 + 5 + 520 = 666.

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

It is a super-2 number, since 2×56006795520² (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 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, 2947726071 + ... + 2947726089.

Almost surely, 2^56006795520 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 56006795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057652800).

56006795520 is an abundant number, since it is smaller than the sum of its proper divisors (172108510080).

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

56006795520 is an frugal number, since it uses more digits than its factorization.

56006795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 56006795520 in words is "fifty-six billion, six million, seven hundred ninety-five thousand, five hundred twenty".