22080586752 has 528 divisors, whose sum is σ = 76871302144. Its totient is φ = 5971968000.

The previous prime is 22080586751. The next prime is 22080586769. The reversal of 22080586752 is 25768508022.

It is a super-2 number, since 2×22080586752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22080586698 and 22080586707.

It is not an unprimeable number, because it can be changed into a prime (22080586751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121992102 + ... + 121992282.

Almost surely, 2^22080586752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22080586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435651072).

22080586752 is an abundant number, since it is smaller than the sum of its proper divisors (54790715392).

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

22080586752 is a wasteful number, since it uses less digits than its factorization.

22080586752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 22080586752 in words is "twenty-two billion, eighty million, five hundred eighty-six thousand, seven hundred fifty-two".