22123886400 has 1008 divisors, whose sum is σ = 101805150720. Its totient is φ = 4590950400.

The previous prime is 22123886371. The next prime is 22123886453. The reversal of 22123886400 is 468832122.

22123886400 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29937231 + ... + 29937969.

Almost surely, 2^22123886400 is an apocalyptic number.

22123886400 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 22123886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50902575360).

22123886400 is an abundant number, since it is smaller than the sum of its proper divisors (79681264320).

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

22123886400 is a wasteful number, since it uses less digits than its factorization.

22123886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22123886400 in words is "twenty-two billion, one hundred twenty-three million, eight hundred eighty-six thousand, four hundred".