21233072364000 has 768 divisors, whose sum is σ = 80076090931200. Its totient is φ = 4817995776000.

The previous prime is 21233072363959. The next prime is 21233072364001. The reversal of 21233072364000 is 46327033212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233072364001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16073483340 + ... + 16073484660.

It is an arithmetic number, because the mean of its divisors is an integer number (104265743400).

Almost surely, 2^{21233072364000} is an apocalyptic number.

21233072364000 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 21233072364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40038045465600).

21233072364000 is an abundant number, since it is smaller than the sum of its proper divisors (58843018567200).

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

21233072364000 is a wasteful number, since it uses less digits than its factorization.

21233072364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 21233072364000 its reverse (46327033212), we get a palindrome (21279399397212).

The spelling of 21233072364000 in words is "twenty-one trillion, two hundred thirty-three billion, seventy-two million, three hundred sixty-four thousand".