22965318506880 has 1728 divisors, whose sum is σ = 89639212150800. Its totient is φ = 5410172436480.

The previous prime is 22965318506789. The next prime is 22965318506881. The reversal of 22965318506880 is 8860581356922.

22965318506880 is a `hidden beast` number, since 2 + 2 + 96 + 5 + 31 + 8 + 506 + 8 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22965318506881) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 81149535219 + ... + 81149535501.

Almost surely, 2^{22965318506880} is an apocalyptic number.

22965318506880 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 22965318506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44819606075400).

22965318506880 is an abundant number, since it is smaller than the sum of its proper divisors (66673893643920).

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

22965318506880 is a wasteful number, since it uses less digits than its factorization.

22965318506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 22965318506880 in words is "twenty-two trillion, nine hundred sixty-five billion, three hundred eighteen million, five hundred six thousand, eight hundred eighty".