21329587200 has 594 divisors, whose sum is σ = 77379719628. Its totient is φ = 5180620800.

The previous prime is 21329587199. The next prime is 21329587241. The reversal of 21329587200 is 278592312.

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 53 ways as a sum of consecutive naturals, for example, 688051185 + ... + 688051215.

Almost surely, 2^21329587200 is an apocalyptic number.

21329587200 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 21329587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689859814).

21329587200 is an abundant number, since it is smaller than the sum of its proper divisors (56050132428).

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

21329587200 is a wasteful number, since it uses less digits than its factorization.

21329587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 21329587200 in words is "twenty-one billion, three hundred twenty-nine million, five hundred eighty-seven thousand, two hundred".