22546080898560 has 560 divisors, whose sum is σ = 83026651110480. Its totient is φ = 5865627156480.

The previous prime is 22546080898553. The next prime is 22546080898571. The reversal of 22546080898560 is 6589808064522.

22546080898560 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 60 + 8 + 0 + 8 + 9 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76368511 + ... + 76663169.

It is an arithmetic number, because the mean of its divisors is an integer number (148261876983).

Almost surely, 2^{22546080898560} is an apocalyptic number.

22546080898560 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 22546080898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513325555240).

22546080898560 is an abundant number, since it is smaller than the sum of its proper divisors (60480570211920).

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

22546080898560 is an frugal number, since it uses more digits than its factorization.

22546080898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294741 (or 294710 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 22546080898560 in words is "twenty-two trillion, five hundred forty-six billion, eighty million, eight hundred ninety-eight thousand, five hundred sixty".