56394412560 has 240 divisors, whose sum is σ = 194214359664. Its totient is φ = 14659227648.

The previous prime is 56394412523. The next prime is 56394412573. The reversal of 56394412560 is 6521449365.

56394412560 is a `hidden beast` number, since 5 + 6 + 39 + 44 + 12 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5211684864 + 51182727696 = 72192^2 + 226236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 5986414 + ... + 5995826.

Almost surely, 2^56394412560 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 56394412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97107179832).

56394412560 is an abundant number, since it is smaller than the sum of its proper divisors (137819947104).

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

56394412560 is a wasteful number, since it uses less digits than its factorization.

56394412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 56394412560 in words is "fifty-six billion, three hundred ninety-four million, four hundred twelve thousand, five hundred sixty".