56438816256 has 640 divisors, whose sum is σ = 187050885120. Its totient is φ = 16721510400.

The previous prime is 56438816251. The next prime is 56438816279. The reversal of 56438816256 is 65261883465.

56438816256 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 8 + 8 + 1 + 625 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56438816251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444400065 + ... + 444400191.

It is an arithmetic number, because the mean of its divisors is an integer number (292267008).

Almost surely, 2^56438816256 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 56438816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93525442560).

56438816256 is an abundant number, since it is smaller than the sum of its proper divisors (130612068864).

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

56438816256 is a wasteful number, since it uses less digits than its factorization.

56438816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

It can be divided in two parts, 564388 and 16256, that added together give a square (580644 = 762²).

The spelling of 56438816256 in words is "fifty-six billion, four hundred thirty-eight million, eight hundred sixteen thousand, two hundred fifty-six".