22125882400 has 72 divisors (see below), whose sum is σ = 54050540544. Its totient is φ = 8844499200.

The previous prime is 22125882343. The next prime is 22125882403. The reversal of 22125882400 is 428852122.

It is not an unprimeable number, because it can be changed into a prime (22125882403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1322085 + ... + 1338715.

It is an arithmetic number, because the mean of its divisors is an integer number (750701952).

Almost surely, 2^22125882400 is an apocalyptic number.

22125882400 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 22125882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025270272).

22125882400 is an abundant number, since it is smaller than the sum of its proper divisors (31924658144).

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

22125882400 is a wasteful number, since it uses less digits than its factorization.

22125882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314 (or 18301 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 22125882400 in words is "twenty-two billion, one hundred twenty-five million, eight hundred eighty-two thousand, four hundred".