22821861807360 has 3456 divisors, whose sum is σ = 108152138465280. Its totient is φ = 4347692236800.

The previous prime is 22821861807299. The next prime is 22821861807383. The reversal of 22821861807360 is 6370816812822.

22821861807360 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 18 + 618 + 0 + 7 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22821861807297 and 22821861807306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 736189090545 + ... + 736189090575.

Almost surely, 2^{22821861807360} is an apocalyptic number.

22821861807360 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 22821861807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54076069232640).

22821861807360 is an abundant number, since it is smaller than the sum of its proper divisors (85330276657920).

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

22821861807360 is an equidigital number, since it uses as much as digits as its factorization.

22821861807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 22821861807360 in words is "twenty-two trillion, eight hundred twenty-one billion, eight hundred sixty-one million, eight hundred seven thousand, three hundred sixty".