560422748160 has 960 divisors, whose sum is σ = 2214774985500. Its totient is φ = 135470776320.

The previous prime is 560422748111. The next prime is 560422748183. The reversal of 560422748160 is 61847224065.

560422748160 is a `hidden beast` number, since 5 + 60 + 422 + 7 + 4 + 8 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 558977531904 + 1445216256 = 747648^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

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 59 ways as a sum of consecutive naturals, for example, 1605795666 + ... + 1605796014.

Almost surely, 2^560422748160 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 560422748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107387492750).

560422748160 is an abundant number, since it is smaller than the sum of its proper divisors (1654352237340).

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

560422748160 is an equidigital number, since it uses as much as digits as its factorization.

560422748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 560422748160 in words is "five hundred sixty billion, four hundred twenty-two million, seven hundred forty-eight thousand, one hundred sixty".