22560841680 has 320 divisors, whose sum is σ = 82734704640. Its totient is φ = 5032101888.

The previous prime is 22560841679. The next prime is 22560841717. The reversal of 22560841680 is 8614806522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1355167 + ... + 1371713.

It is an arithmetic number, because the mean of its divisors is an integer number (258545952).

Almost surely, 2^22560841680 is an apocalyptic number.

22560841680 is a gapful number since it is divisible by the number (20) 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 22560841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367352320).

22560841680 is an abundant number, since it is smaller than the sum of its proper divisors (60173862960).

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

22560841680 is a wasteful number, since it uses less digits than its factorization.

22560841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 22560841680 in words is "twenty-two billion, five hundred sixty million, eight hundred forty-one thousand, six hundred eighty".