56055085899264 has 480 divisors, whose sum is σ = 166915101285504. Its totient is φ = 18100914094080.

The previous prime is 56055085899229. The next prime is 56055085899287. The reversal of 56055085899264 is 46299858055065.

56055085899264 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 508 + 5 + 8 + 99 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56055085899192 and 56055085899201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8729958774 + ... + 8729965194.

Almost surely, 2^{56055085899264} 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 56055085899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83457550642752).

56055085899264 is an abundant number, since it is smaller than the sum of its proper divisors (110860015386240).

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

56055085899264 is a wasteful number, since it uses less digits than its factorization.

56055085899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 56055085899264 in words is "fifty-six trillion, fifty-five billion, eighty-five million, eight hundred ninety-nine thousand, two hundred sixty-four".