22565616353280 has 3648 divisors, whose sum is σ = 110528088192000. Its totient is φ = 4328270069760.

The previous prime is 22565616353261. The next prime is 22565616353303. The reversal of 22565616353280 is 8235361656522.

22565616353280 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 5 + 6 + 1 + 6 + 353 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1735816642554 + ... + 1735816642566.

Almost surely, 2^{22565616353280} is an apocalyptic number.

22565616353280 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 22565616353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55264044096000).

22565616353280 is an abundant number, since it is smaller than the sum of its proper divisors (87962471838720).

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

22565616353280 is an frugal number, since it uses more digits than its factorization.

22565616353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 22565616353280 in words is "twenty-two trillion, five hundred sixty-five billion, six hundred sixteen million, three hundred fifty-three thousand, two hundred eighty".