22855996800 has 2304 divisors, whose sum is σ = 116017574400. Its totient is φ = 4299816960.

The previous prime is 22855996799. The next prime is 22855996811. The reversal of 22855996800 is 869955822.

22855996800 is a `hidden beast` number, since 2 + 2 + 8 + 559 + 9 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×22855996800² (a number of 22 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1202947191 + ... + 1202947209.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^22855996800 is an apocalyptic number.

22855996800 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 22855996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008787200).

22855996800 is an abundant number, since it is smaller than the sum of its proper divisors (93161577600).

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

22855996800 is a wasteful number, since it uses less digits than its factorization.

22855996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 22855996800 in words is "twenty-two billion, eight hundred fifty-five million, nine hundred ninety-six thousand, eight hundred".