22608265680 has 1440 divisors, whose sum is σ = 108747325440. Its totient is φ = 4075868160.

The previous prime is 22608265649. The next prime is 22608265681. The reversal of 22608265680 is 8656280622.

22608265680 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 82 + 6 + 568 + 0 = 666.

It is a super-2 number, since 2×22608265680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22608265681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 178017777 + ... + 178017903.

It is an arithmetic number, because the mean of its divisors is an integer number (75518976).

Almost surely, 2^22608265680 is an apocalyptic number.

22608265680 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 22608265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54373662720).

22608265680 is an abundant number, since it is smaller than the sum of its proper divisors (86139059760).

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

22608265680 is a wasteful number, since it uses less digits than its factorization.

22608265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22608265680 in words is "twenty-two billion, six hundred eight million, two hundred sixty-five thousand, six hundred eighty".