21334917200 has 240 divisors, whose sum is σ = 54562966080. Its totient is φ = 8004648960.

The previous prime is 21334917179. The next prime is 21334917217. The reversal of 21334917200 is 271943312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75388259 + ... + 75388541.

It is an arithmetic number, because the mean of its divisors is an integer number (227345692).

Almost surely, 2^21334917200 is an apocalyptic number.

21334917200 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 21334917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27281483040).

21334917200 is an abundant number, since it is smaller than the sum of its proper divisors (33228048880).

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

21334917200 is a wasteful number, since it uses less digits than its factorization.

21334917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 21334917200 in words is "twenty-one billion, three hundred thirty-four million, nine hundred seventeen thousand, two hundred".