22564302625360 has 80 divisors (see below), whose sum is σ = 52639999141392. Its totient is φ = 8995138560000.

The previous prime is 22564302625339. The next prime is 22564302625373. The reversal of 22564302625360 is 6352620346522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 540654325264 + 22023648300096 = 735292^2 + 4692936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22564302625360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35518510 + ... + 36148210.

Almost surely, 2^{22564302625360} is an apocalyptic number.

22564302625360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22564302625360 is an abundant number, since it is smaller than the sum of its proper divisors (30075696516032).

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

22564302625360 is a wasteful number, since it uses less digits than its factorization.

22564302625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631232 (or 631226 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 22564302625360 in words is "twenty-two trillion, five hundred sixty-four billion, three hundred two million, six hundred twenty-five thousand, three hundred sixty".