22561201555200 has 5832 divisors, whose sum is σ = 113471225970480. Its totient is φ = 4368494592000.

The previous prime is 22561201555177. The next prime is 22561201555231. The reversal of 22561201555200 is 255510216522.

22561201555200 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 120 + 1 + 5 + 5 + 520 + 0 = 666.

It is a super-2 number, since 2×22561201555200² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 369855763170 + ... + 369855763230.

Almost surely, 2^{22561201555200} is an apocalyptic number.

22561201555200 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 22561201555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56735612985240).

22561201555200 is an abundant number, since it is smaller than the sum of its proper divisors (90910024415280).

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

22561201555200 is a wasteful number, since it uses less digits than its factorization.

22561201555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 22561201555200 in words is "twenty-two trillion, five hundred sixty-one billion, two hundred one million, five hundred fifty-five thousand, two hundred".