56271307680 has 288 divisors, whose sum is σ = 227026800000. Its totient is φ = 12418430976.

The previous prime is 56271307627. The next prime is 56271307681. The reversal of 56271307680 is 8670317265.

56271307680 is a `hidden beast` number, since 5 + 627 + 13 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (56271307681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196071 + ... + 388569.

It is an arithmetic number, because the mean of its divisors is an integer number (788287500).

Almost surely, 2^56271307680 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 56271307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400000).

56271307680 is an abundant number, since it is smaller than the sum of its proper divisors (170755492320).

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

56271307680 is a wasteful number, since it uses less digits than its factorization.

56271307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192556 (or 192545 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56271307680 in words is "fifty-six billion, two hundred seventy-one million, three hundred seven thousand, six hundred eighty".