22800096000 has 576 divisors, whose sum is σ = 91832832000. Its totient is φ = 5524992000.

The previous prime is 22800095959. The next prime is 22800096001. The reversal of 22800096000 is 69000822.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22800096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9502801 + ... + 9505199.

It is an arithmetic number, because the mean of its divisors is an integer number (159432000).

Almost surely, 2^22800096000 is an apocalyptic number.

22800096000 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 22800096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45916416000).

22800096000 is an abundant number, since it is smaller than the sum of its proper divisors (69032736000).

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

22800096000 is a wasteful number, since it uses less digits than its factorization.

22800096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 22800096000 its reverse (69000822), we get a palindrome (22869096822).

The spelling of 22800096000 in words is "twenty-two billion, eight hundred million, ninety-six thousand".