22164355200 has 768 divisors, whose sum is σ = 86184483840. Its totient is φ = 4954521600.

The previous prime is 22164355177. The next prime is 22164355259. The reversal of 22164355200 is 255346122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65769432 + ... + 65769768.

It is an arithmetic number, because the mean of its divisors is an integer number (112219380).

Almost surely, 2^22164355200 is an apocalyptic number.

22164355200 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 22164355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092241920).

22164355200 is an abundant number, since it is smaller than the sum of its proper divisors (64020128640).

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

22164355200 is a wasteful number, since it uses less digits than its factorization.

22164355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 22164355200 in words is "twenty-two billion, one hundred sixty-four million, three hundred fifty-five thousand, two hundred".