22368165120 has 288 divisors, whose sum is σ = 90716317440. Its totient is φ = 5112668160.

The previous prime is 22368165107. The next prime is 22368165121. The reversal of 22368165120 is 2156186322.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22368165120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22368165121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195690 + ... + 288150.

Almost surely, 2^22368165120 is an apocalyptic number.

22368165120 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 22368165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45358158720).

22368165120 is an abundant number, since it is smaller than the sum of its proper divisors (68348152320).

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

22368165120 is an equidigital number, since it uses as much as digits as its factorization.

22368165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92498 (or 92478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22368165120 in words is "twenty-two billion, three hundred sixty-eight million, one hundred sixty-five thousand, one hundred twenty".