21264333443200 has 192 divisors, whose sum is σ = 53846835055200. Its totient is φ = 8293138882560.

The previous prime is 21264333443167. The next prime is 21264333443251. The reversal of 21264333443200 is 234433346212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21264333443200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77331556 + ... + 77606044.

Almost surely, 2^{21264333443200} is an apocalyptic number.

21264333443200 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 21264333443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923417527600).

21264333443200 is an abundant number, since it is smaller than the sum of its proper divisors (32582501612000).

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

21264333443200 is a wasteful number, since it uses less digits than its factorization.

21264333443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275119 (or 275102 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 21264333443200 its reverse (234433346212), we get a palindrome (21498766789412).

The spelling of 21264333443200 in words is "twenty-one trillion, two hundred sixty-four billion, three hundred thirty-three million, four hundred forty-three thousand, two hundred".