22166917920 has 1152 divisors, whose sum is σ = 98042918400. Its totient is φ = 4649508864.

The previous prime is 22166917879. The next prime is 22166917951. The reversal of 22166917920 is 2971966122.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141190482 + ... + 141190638.

It is an arithmetic number, because the mean of its divisors is an integer number (85106700).

Almost surely, 2^22166917920 is an apocalyptic number.

22166917920 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 22166917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49021459200).

22166917920 is an abundant number, since it is smaller than the sum of its proper divisors (75876000480).

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

22166917920 is a wasteful number, since it uses less digits than its factorization.

22166917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 22166917920 in words is "twenty-two billion, one hundred sixty-six million, nine hundred seventeen thousand, nine hundred twenty".