56233457280 has 1024 divisors, whose sum is σ = 267486105600. Its totient is φ = 10782720000.

The previous prime is 56233457261. The next prime is 56233457317. The reversal of 56233457280 is 8275433265.

56233457280 is a `hidden beast` number, since 5 + 6 + 23 + 345 + 7 + 280 = 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17295655 + ... + 17298905.

It is an arithmetic number, because the mean of its divisors is an integer number (261216900).

Almost surely, 2^56233457280 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 56233457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133743052800).

56233457280 is an abundant number, since it is smaller than the sum of its proper divisors (211252648320).

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

56233457280 is a wasteful number, since it uses less digits than its factorization.

56233457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 56233457280 in words is "fifty-six billion, two hundred thirty-three million, four hundred fifty-seven thousand, two hundred eighty".