22103668800 has 504 divisors, whose sum is σ = 82258103200. Its totient is φ = 5837598720.

The previous prime is 22103668799. The next prime is 22103668823. The reversal of 22103668800 is 886630122.

22103668800 is a `hidden beast` number, since 2 + 210 + 366 + 8 + 80 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54042996 + ... + 54043404.

Almost surely, 2^22103668800 is an apocalyptic number.

22103668800 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 22103668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41129051600).

22103668800 is an abundant number, since it is smaller than the sum of its proper divisors (60154434400).

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

22103668800 is a wasteful number, since it uses less digits than its factorization.

22103668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22103668800 in words is "twenty-two billion, one hundred three million, six hundred sixty-eight thousand, eight hundred".