56026274088960 has 4608 divisors, whose sum is σ = 257892758323200. Its totient is φ = 11377315676160.

The previous prime is 56026274088959. The next prime is 56026274089033. The reversal of 56026274088960 is 6988047262065.

56026274088960 is a `hidden beast` number, since 56 + 0 + 26 + 27 + 408 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 441151764417 + ... + 441151764543.

It is an arithmetic number, because the mean of its divisors is an integer number (55966310400).

Almost surely, 2^{56026274088960} 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 56026274088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128946379161600).

56026274088960 is an abundant number, since it is smaller than the sum of its proper divisors (201866484234240).

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

56026274088960 is a wasteful number, since it uses less digits than its factorization.

56026274088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 56026274088960 in words is "fifty-six trillion, twenty-six billion, two hundred seventy-four million, eighty-eight thousand, nine hundred sixty".