22200104160 has 960 divisors, whose sum is σ = 93498717312. Its totient is φ = 4904976384.

The previous prime is 22200104159. The next prime is 22200104231. The reversal of 22200104160 is 6140100222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65875512 + ... + 65875848.

Almost surely, 2^22200104160 is an apocalyptic number.

22200104160 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 22200104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46749358656).

22200104160 is an abundant number, since it is smaller than the sum of its proper divisors (71298613152).

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

22200104160 is a wasteful number, since it uses less digits than its factorization.

22200104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22200104160 its reverse (6140100222), we get a palindrome (28340204382).

The spelling of 22200104160 in words is "twenty-two billion, two hundred million, one hundred four thousand, one hundred sixty".