56456401352 has 64 divisors (see below), whose sum is σ = 115836846720. Its totient is φ = 25637534208.

The previous prime is 56456401327. The next prime is 56456401387. The reversal of 56456401352 is 25310465465.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 6524693 + ... + 6533339.

It is an arithmetic number, because the mean of its divisors is an integer number (1809950730).

Almost surely, 2^56456401352 is an apocalyptic number.

56456401352 is a gapful number since it is divisible by the number (52) 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 56456401352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57918423360).

56456401352 is an abundant number, since it is smaller than the sum of its proper divisors (59380445368).

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

56456401352 is a wasteful number, since it uses less digits than its factorization.

56456401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 56456401352 in words is "fifty-six billion, four hundred fifty-six million, four hundred one thousand, three hundred fifty-two".