22602081116160 has 1344 divisors, whose sum is σ = 101507767845120. Its totient is φ = 4517674352640.

The previous prime is 22602081116123. The next prime is 22602081116161. The reversal of 22602081116160 is 6161118020622.

It is a happy number.

22602081116160 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 20 + 8 + 1 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22602081116161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637360830 + ... + 637396290.

It is an arithmetic number, because the mean of its divisors is an integer number (75526612980).

Almost surely, 2^{22602081116160} is an apocalyptic number.

22602081116160 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 22602081116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50753883922560).

22602081116160 is an abundant number, since it is smaller than the sum of its proper divisors (78905686728960).

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

22602081116160 is a wasteful number, since it uses less digits than its factorization.

22602081116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35537 (or 35510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 22602081116160 its reverse (6161118020622), we get a palindrome (28763199136782).

The spelling of 22602081116160 in words is "twenty-two trillion, six hundred two billion, eighty-one million, one hundred sixteen thousand, one hundred sixty".