56811512026080 has 2016 divisors, whose sum is σ = 245187398131200. Its totient is φ = 12146311065600.

The previous prime is 56811512026079. The next prime is 56811512026163. The reversal of 56811512026080 is 8062021511865.

56811512026080 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 15 + 1 + 20 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 158249336941 + ... + 158249337299.

It is an arithmetic number, because the mean of its divisors is an integer number (121620733200).

Almost surely, 2^{56811512026080} 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 56811512026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122593699065600).

56811512026080 is an abundant number, since it is smaller than the sum of its proper divisors (188375886105120).

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

56811512026080 is a wasteful number, since it uses less digits than its factorization.

56811512026080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 56811512026080 in words is "fifty-six trillion, eight hundred eleven billion, five hundred twelve million, twenty-six thousand, eighty".