22110727680 has 640 divisors, whose sum is σ = 85983068160. Its totient is φ = 5361500160.

The previous prime is 22110727631. The next prime is 22110727699. The reversal of 22110727680 is 8672701122.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36425937 + ... + 36426543.

It is an arithmetic number, because the mean of its divisors is an integer number (134348544).

Almost surely, 2^22110727680 is an apocalyptic number.

22110727680 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 22110727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42991534080).

22110727680 is an abundant number, since it is smaller than the sum of its proper divisors (63872340480).

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

22110727680 is a wasteful number, since it uses less digits than its factorization.

22110727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 22110727680 in words is "twenty-two billion, one hundred ten million, seven hundred twenty-seven thousand, six hundred eighty".