22880721600 has 1008 divisors, whose sum is σ = 97505946720. Its totient is φ = 5023334400.

The previous prime is 22880721599. The next prime is 22880721601. The reversal of 22880721600 is 612708822.

It is a happy number.

22880721600 is a `hidden beast` number, since 2 + 28 + 8 + 0 + 7 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (22880721599) and next prime (22880721601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22880721601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78091054 + ... + 78091346.

It is an arithmetic number, because the mean of its divisors is an integer number (96732090).

Almost surely, 2^22880721600 is an apocalyptic number.

22880721600 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 22880721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48752973360).

22880721600 is an abundant number, since it is smaller than the sum of its proper divisors (74625225120).

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

22880721600 is a wasteful number, since it uses less digits than its factorization.

22880721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22880721600 in words is "twenty-two billion, eight hundred eighty million, seven hundred twenty-one thousand, six hundred".