22609972800 has 504 divisors, whose sum is σ = 87603604320. Its totient is φ = 5671526400.

The previous prime is 22609972793. The next prime is 22609972807. The reversal of 22609972800 is 827990622.

It is an interprime number because it is at equal distance from previous prime (22609972793) and next prime (22609972807).

It is a super-2 number, since 2×22609972800² (a number of 22 digits) contains 22 as substring.

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 (22609972807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12483895 + ... + 12485705.

Almost surely, 2^22609972800 is an apocalyptic number.

22609972800 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 22609972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43801802160).

22609972800 is an abundant number, since it is smaller than the sum of its proper divisors (64993631520).

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

22609972800 is a wasteful number, since it uses less digits than its factorization.

22609972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 22609972800 in words is "twenty-two billion, six hundred nine million, nine hundred seventy-two thousand, eight hundred".