21322322323200 has 648 divisors, whose sum is σ = 79150154149248. Its totient is φ = 5679147479040.

The previous prime is 21322322323171. The next prime is 21322322323217. The reversal of 21322322323200 is 232322322312.

21322322323200 is a `hidden beast` number, since 2 + 1 + 3 + 223 + 2 + 232 + 3 + 200 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1373233837 + ... + 1373249363.

Almost surely, 2^{21322322323200} is an apocalyptic number.

21322322323200 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 21322322323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39575077074624).

21322322323200 is an abundant number, since it is smaller than the sum of its proper divisors (57827831826048).

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

21322322323200 is an equidigital number, since it uses as much as digits as its factorization.

21322322323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451 (or 16420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21322322323200 its reverse (232322322312), we get a palindrome (21554644645512).

The spelling of 21322322323200 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred".