22255858800 has 540 divisors, whose sum is σ = 91160321616. Its totient is φ = 5012582400.

The previous prime is 22255858769. The next prime is 22255858813. The reversal of 22255858800 is 885855222.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 12523512 + ... + 12525288.

Almost surely, 2^22255858800 is an apocalyptic number.

22255858800 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 22255858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45580160808).

22255858800 is an abundant number, since it is smaller than the sum of its proper divisors (68904462816).

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

22255858800 is a wasteful number, since it uses less digits than its factorization.

22255858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 22255858800 in words is "twenty-two billion, two hundred fifty-five million, eight hundred fifty-eight thousand, eight hundred".