22180617690 has 192 divisors, whose sum is σ = 67285112832. Its totient is φ = 4580484480.

The previous prime is 22180617677. The next prime is 22180617743. The reversal of 22180617690 is 9671608122.

It is a super-2 number, since 2×22180617690² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4240857 + ... + 4246083.

It is an arithmetic number, because the mean of its divisors is an integer number (350443296).

Almost surely, 2^22180617690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22180617690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642556416).

22180617690 is an abundant number, since it is smaller than the sum of its proper divisors (45104495142).

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

22180617690 is a wasteful number, since it uses less digits than its factorization.

22180617690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 22180617690 in words is "twenty-two billion, one hundred eighty million, six hundred seventeen thousand, six hundred ninety".