22551328800 has 1728 divisors, whose sum is σ = 112211568000. Its totient is φ = 4296499200.

The previous prime is 22551328771. The next prime is 22551328823. The reversal of 22551328800 is 882315522.

22551328800 is a `hidden beast` number, since 2 + 2 + 551 + 3 + 28 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151351126 + ... + 151351274.

It is an arithmetic number, because the mean of its divisors is an integer number (64937250).

Almost surely, 2^22551328800 is an apocalyptic number.

22551328800 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 22551328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784000).

22551328800 is an abundant number, since it is smaller than the sum of its proper divisors (89660239200).

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

22551328800 is a wasteful number, since it uses less digits than its factorization.

22551328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 22551328800 in words is "twenty-two billion, five hundred fifty-one million, three hundred twenty-eight thousand, eight hundred".