56400581952 has 336 divisors, whose sum is σ = 191528151360. Its totient is φ = 15773598720.

The previous prime is 56400581933. The next prime is 56400581971. The reversal of 56400581952 is 25918500465.

56400581952 is a `hidden beast` number, since 5 + 6 + 400 + 58 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56400581933) and next prime (56400581971).

It is a junction number, because it is equal to n+sod(n) for n = 56400581898 and 56400581907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9963699 + ... + 9969357.

It is an arithmetic number, because the mean of its divisors is an integer number (570024260).

Almost surely, 2^56400581952 is an apocalyptic number.

56400581952 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 56400581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95764075680).

56400581952 is an abundant number, since it is smaller than the sum of its proper divisors (135127569408).

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

56400581952 is a wasteful number, since it uses less digits than its factorization.

56400581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 56400581952 in words is "fifty-six billion, four hundred million, five hundred eighty-one thousand, nine hundred fifty-two".