22564740065280 has 384 divisors, whose sum is σ = 83352947408640. Its totient is φ = 5104478453760.

The previous prime is 22564740065239. The next prime is 22564740065293. The reversal of 22564740065280 is 8256004746522.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22564740065280² (a number of 28 digits) contains 22 as substring.

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, 20317990 + ... + 21399770.

It is an arithmetic number, because the mean of its divisors is an integer number (217064967210).

Almost surely, 2^{22564740065280} is an apocalyptic number.

22564740065280 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 22564740065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41676473704320).

22564740065280 is an abundant number, since it is smaller than the sum of its proper divisors (60788207343360).

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

22564740065280 is a wasteful number, since it uses less digits than its factorization.

22564740065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081915 (or 1081895 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 22564740065280 in words is "twenty-two trillion, five hundred sixty-four billion, seven hundred forty million, sixty-five thousand, two hundred eighty".