22872844800 has 600 divisors, whose sum is σ = 91219653756. Its totient is φ = 5626920960.

The previous prime is 22872844739. The next prime is 22872844801. The reversal of 22872844800 is 844827822.

22872844800 is a `hidden beast` number, since 2 + 28 + 72 + 84 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10482483456 + 12390361344 = 102384^2 + 111312^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (22872844801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13477552 + ... + 13479248.

Almost surely, 2^22872844800 is an apocalyptic number.

22872844800 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 22872844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45609826878).

22872844800 is an abundant number, since it is smaller than the sum of its proper divisors (68346808956).

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

22872844800 is a wasteful number, since it uses less digits than its factorization.

22872844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 22872844800 in words is "twenty-two billion, eight hundred seventy-two million, eight hundred forty-four thousand, eight hundred".