22480815600 has 480 divisors, whose sum is σ = 83694643200. Its totient is φ = 5724518400.

The previous prime is 22480815557. The next prime is 22480815629. The reversal of 22480815600 is 651808422.

22480815600 is a `hidden beast` number, since 2 + 2 + 48 + 0 + 8 + 1 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27787996 + ... + 27788804.

It is an arithmetic number, because the mean of its divisors is an integer number (174363840).

Almost surely, 2^22480815600 is an apocalyptic number.

22480815600 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 22480815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41847321600).

22480815600 is an abundant number, since it is smaller than the sum of its proper divisors (61213827600).

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

22480815600 is a wasteful number, since it uses less digits than its factorization.

22480815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 22480815600 in words is "twenty-two billion, four hundred eighty million, eight hundred fifteen thousand, six hundred".