56918302560 has 384 divisors, whose sum is σ = 228953088000. Its totient is φ = 12936775680.

The previous prime is 56918302513. The next prime is 56918302577. The reversal of 56918302560 is 6520381965.

56918302560 is a `hidden beast` number, since 5 + 6 + 9 + 1 + 83 + 0 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5468241 + ... + 5478639.

It is an arithmetic number, because the mean of its divisors is an integer number (596232000).

Almost surely, 2^56918302560 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 56918302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544000).

56918302560 is an abundant number, since it is smaller than the sum of its proper divisors (172034785440).

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

56918302560 is a wasteful number, since it uses less digits than its factorization.

56918302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 56918302560 in words is "fifty-six billion, nine hundred eighteen million, three hundred two thousand, five hundred sixty".