22968748800 has 486 divisors, whose sum is σ = 85428421988. Its totient is φ = 6113802240.

The previous prime is 22968748771. The next prime is 22968748853. The reversal of 22968748800 is 884786922.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41990127 + ... + 41990673.

Almost surely, 2^22968748800 is an apocalyptic number.

22968748800 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 22968748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714210994).

22968748800 is an abundant number, since it is smaller than the sum of its proper divisors (62459673188).

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

22968748800 is an frugal number, since it uses more digits than its factorization.

22968748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 22968748800 in words is "twenty-two billion, nine hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred".