56281404960 has 576 divisors, whose sum is σ = 230091249024. Its totient is φ = 12839731200.

The previous prime is 56281404937. The next prime is 56281404979. The reversal of 56281404960 is 6940418265.

56281404960 is a `hidden beast` number, since 5 + 628 + 14 + 0 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7266690 + ... + 7274430.

It is an arithmetic number, because the mean of its divisors is an integer number (399463974).

Almost surely, 2^56281404960 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 56281404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115045624512).

56281404960 is an abundant number, since it is smaller than the sum of its proper divisors (173809844064).

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

56281404960 is a wasteful number, since it uses less digits than its factorization.

56281404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56281404960 in words is "fifty-six billion, two hundred eighty-one million, four hundred four thousand, nine hundred sixty".