21320003200 has 96 divisors (see below), whose sum is σ = 52727077260. Its totient is φ = 8518287360.

The previous prime is 21320003171. The next prime is 21320003231. The reversal of 21320003200 is 230002312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7124710464 + 14195292736 = 84408^2 + 119144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3238312 + ... + 3244888.

Almost surely, 2^21320003200 is an apocalyptic number.

21320003200 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 21320003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363538630).

21320003200 is an abundant number, since it is smaller than the sum of its proper divisors (31407074060).

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

21320003200 is a wasteful number, since it uses less digits than its factorization.

21320003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 21320003200 its reverse (230002312), we get a palindrome (21550005512).

The spelling of 21320003200 in words is "twenty-one billion, three hundred twenty million, three thousand, two hundred".