22165682400 has 648 divisors, whose sum is σ = 83950658064. Its totient is φ = 5710694400.

The previous prime is 22165682257. The next prime is 22165682411. The reversal of 22165682400 is 428656122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 215200749 + ... + 215200851.

Almost surely, 2^22165682400 is an apocalyptic number.

22165682400 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 22165682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41975329032).

22165682400 is an abundant number, since it is smaller than the sum of its proper divisors (61784975664).

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

22165682400 is an equidigital number, since it uses as much as digits as its factorization.

22165682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22165682400 in words is "twenty-two billion, one hundred sixty-five million, six hundred eighty-two thousand, four hundred".