22742988800 has 576 divisors, whose sum is σ = 70195507200. Its totient is φ = 7136870400.

The previous prime is 22742988781. The next prime is 22742988803. The reversal of 22742988800 is 888924722.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22742988803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255539156 + ... + 255539244.

It is an arithmetic number, because the mean of its divisors is an integer number (121867200).

Almost surely, 2^22742988800 is an apocalyptic number.

22742988800 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 22742988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

22742988800 is an abundant number, since it is smaller than the sum of its proper divisors (47452518400).

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

22742988800 is a wasteful number, since it uses less digits than its factorization.

22742988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 22742988800 in words is "twenty-two billion, seven hundred forty-two million, nine hundred eighty-eight thousand, eight hundred".