56756001456 has 960 divisors, whose sum is σ = 216436147200. Its totient is φ = 14265538560.

The previous prime is 56756001439. The next prime is 56756001469. The reversal of 56756001456 is 65410065765.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777479436 + ... + 777479508.

It is an arithmetic number, because the mean of its divisors is an integer number (225454320).

Almost surely, 2^56756001456 is an apocalyptic number.

56756001456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56756001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108218073600).

56756001456 is an abundant number, since it is smaller than the sum of its proper divisors (159680145744).

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

56756001456 is a wasteful number, since it uses less digits than its factorization.

56756001456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56756001456 in words is "fifty-six billion, seven hundred fifty-six million, one thousand, four hundred fifty-six".