22564685760 has 224 divisors, whose sum is σ = 75606493440. Its totient is φ = 5685977088.

The previous prime is 22564685753. The next prime is 22564685771. The reversal of 22564685760 is 6758646522.

It is a super-3 number, since 3×22564685760³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8334327 + ... + 8337033.

Almost surely, 2^22564685760 is an apocalyptic number.

22564685760 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 22564685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37803246720).

22564685760 is an abundant number, since it is smaller than the sum of its proper divisors (53041807680).

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

22564685760 is a wasteful number, since it uses less digits than its factorization.

22564685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 22564685760 in words is "twenty-two billion, five hundred sixty-four million, six hundred eighty-five thousand, seven hundred sixty".