22989340800 has 288 divisors, whose sum is σ = 82962184500. Its totient is φ = 6060933120.

The previous prime is 22989340793. The next prime is 22989340823. The reversal of 22989340800 is 804398922.

22989340800 is a `hidden beast` number, since 229 + 8 + 9 + 340 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5125414464 + 17863926336 = 71592^2 + 133656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 2558716 + ... + 2567684.

Almost surely, 2^22989340800 is an apocalyptic number.

22989340800 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 22989340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41481092250).

22989340800 is an abundant number, since it is smaller than the sum of its proper divisors (59972843700).

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

22989340800 is a wasteful number, since it uses less digits than its factorization.

22989340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22989340800 in words is "twenty-two billion, nine hundred eighty-nine million, three hundred forty thousand, eight hundred".