22716304000 has 384 divisors, whose sum is σ = 63362856960. Its totient is φ = 8087040000.

The previous prime is 22716303943. The next prime is 22716304021. The reversal of 22716304000 is 40361722.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83823865 + ... + 83824135.

It is an arithmetic number, because the mean of its divisors is an integer number (165007440).

Almost surely, 2^22716304000 is an apocalyptic number.

22716304000 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 22716304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31681428480).

22716304000 is an abundant number, since it is smaller than the sum of its proper divisors (40646552960).

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

22716304000 is a wasteful number, since it uses less digits than its factorization.

22716304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 22716304000 its reverse (40361722), we get a palindrome (22756665722).

The spelling of 22716304000 in words is "twenty-two billion, seven hundred sixteen million, three hundred four thousand".