56640226212864 has 1408 divisors, whose sum is σ = 201920010240000. Its totient is φ = 15666048663552.

The previous prime is 56640226212833. The next prime is 56640226212883. The reversal of 56640226212864 is 46821262204665.

56640226212864 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 0 + 2 + 2 + 621 + 2 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56640226212864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118246818577 + ... + 118246819055.

Almost surely, 2^{56640226212864} is an apocalyptic number.

56640226212864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56640226212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100960005120000).

56640226212864 is an abundant number, since it is smaller than the sum of its proper divisors (145279784027136).

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

56640226212864 is a wasteful number, since it uses less digits than its factorization.

56640226212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 56640226212864 in words is "fifty-six trillion, six hundred forty billion, two hundred twenty-six million, two hundred twelve thousand, eight hundred sixty-four".