22554380160 has 768 divisors, whose sum is σ = 89820057600. Its totient is φ = 5169070080.

The previous prime is 22554380159. The next prime is 22554380183. The reversal of 22554380160 is 6108345522.

22554380160 is a `hidden beast` number, since 2 + 25 + 543 + 80 + 16 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118085665 + ... + 118085855.

It is an arithmetic number, because the mean of its divisors is an integer number (116953200).

Almost surely, 2^22554380160 is an apocalyptic number.

22554380160 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 22554380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

22554380160 is an abundant number, since it is smaller than the sum of its proper divisors (67265677440).

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

22554380160 is a wasteful number, since it uses less digits than its factorization.

22554380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22554380160 in words is "twenty-two billion, five hundred fifty-four million, three hundred eighty thousand, one hundred sixty".