22090682880 has 1120 divisors, whose sum is σ = 96607209600. Its totient is φ = 4729798656.

The previous prime is 22090682869. The next prime is 22090682881. The reversal of 22090682880 is 8828609022.

22090682880 is a `hidden beast` number, since 220 + 90 + 68 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (22090682881) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 248209876 + ... + 248209964.

Almost surely, 2^22090682880 is an apocalyptic number.

22090682880 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 22090682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48303604800).

22090682880 is an abundant number, since it is smaller than the sum of its proper divisors (74516526720).

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

22090682880 is an frugal number, since it uses more digits than its factorization.

22090682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22090682880 in words is "twenty-two billion, ninety million, six hundred eighty-two thousand, eight hundred eighty".