21330957916800 has 1536 divisors, whose sum is σ = 94812403046400. Its totient is φ = 4572005990400.

The previous prime is 21330957916781. The next prime is 21330957916811. The reversal of 21330957916800 is 861975903312.

21330957916800 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 9 + 579 + 1 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 2909689135 + ... + 2909696465.

It is an arithmetic number, because the mean of its divisors is an integer number (61726824900).

Almost surely, 2^{21330957916800} is an apocalyptic number.

21330957916800 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 21330957916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47406201523200).

21330957916800 is an abundant number, since it is smaller than the sum of its proper divisors (73481445129600).

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

21330957916800 is a wasteful number, since it uses less digits than its factorization.

21330957916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 21330957916800 in words is "twenty-one trillion, three hundred thirty billion, nine hundred fifty-seven million, nine hundred sixteen thousand, eight hundred".