22869504000 has 624 divisors, whose sum is σ = 94352456640. Its totient is φ = 5219942400.

The previous prime is 22869503999. The next prime is 22869504017. The reversal of 22869504000 is 40596822.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255646 + ... + 32256354.

It is an arithmetic number, because the mean of its divisors is an integer number (151205860).

Almost surely, 2^22869504000 is an apocalyptic number.

22869504000 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 22869504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47176228320).

22869504000 is an abundant number, since it is smaller than the sum of its proper divisors (71482952640).

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

22869504000 is an equidigital number, since it uses as much as digits as its factorization.

22869504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22869504000 in words is "twenty-two billion, eight hundred sixty-nine million, five hundred four thousand".