56552240948256 has 432 divisors, whose sum is σ = 168675550898400. Its totient is φ = 18662099162112.

The previous prime is 56552240948243. The next prime is 56552240948309. The reversal of 56552240948256 is 65284904225565.

56552240948256 is a `hidden beast` number, since 5 + 6 + 5 + 52 + 240 + 94 + 8 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 56552240948193 and 56552240948202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11060478756 + ... + 11060483868.

Almost surely, 2^{56552240948256} 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 56552240948256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84337775449200).

56552240948256 is an abundant number, since it is smaller than the sum of its proper divisors (112123309950144).

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

56552240948256 is an equidigital number, since it uses as much as digits as its factorization.

56552240948256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 56552240948256 in words is "fifty-six trillion, five hundred fifty-two billion, two hundred forty million, nine hundred forty-eight thousand, two hundred fifty-six".