56026182695040 has 2560 divisors, whose sum is σ = 218409561216000. Its totient is φ = 13660805136384.

The previous prime is 56026182695017. The next prime is 56026182695053. The reversal of 56026182695040 is 4059628162065.

56026182695040 is a `hidden beast` number, since 5 + 60 + 2 + 6 + 18 + 2 + 69 + 504 + 0 = 666.

56026182695040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 376014648886 + ... + 376014649034.

It is an arithmetic number, because the mean of its divisors is an integer number (85316234850).

Almost surely, 2^{56026182695040} 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 56026182695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109204780608000).

56026182695040 is an abundant number, since it is smaller than the sum of its proper divisors (162383378520960).

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

56026182695040 is a wasteful number, since it uses less digits than its factorization.

56026182695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56026182695040 in words is "fifty-six trillion, twenty-six billion, one hundred eighty-two million, six hundred ninety-five thousand, forty".