22611160080 has 240 divisors, whose sum is σ = 80815363200. Its totient is φ = 5645832192.

The previous prime is 22611160057. The next prime is 22611160093. The reversal of 22611160080 is 8006111622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22611160080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2431119 + ... + 2440401.

It is an arithmetic number, because the mean of its divisors is an integer number (336730680).

Almost surely, 2^22611160080 is an apocalyptic number.

22611160080 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 22611160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40407681600).

22611160080 is an abundant number, since it is smaller than the sum of its proper divisors (58204203120).

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

22611160080 is a wasteful number, since it uses less digits than its factorization.

22611160080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 22611160080 in words is "twenty-two billion, six hundred eleven million, one hundred sixty thousand, eighty".