22185180160 has 352 divisors, whose sum is σ = 63246601152. Its totient is φ = 7361003520.

The previous prime is 22185180151. The next prime is 22185180161. The reversal of 22185180160 is 6108158122.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22185180161) 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, 114949024 + ... + 114949216.

Almost surely, 2^22185180160 is an apocalyptic number.

22185180160 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 22185180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31623300576).

22185180160 is an abundant number, since it is smaller than the sum of its proper divisors (41061420992).

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

22185180160 is a wasteful number, since it uses less digits than its factorization.

22185180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 22185180160 in words is "twenty-two billion, one hundred eighty-five million, one hundred eighty thousand, one hundred sixty".