21231701920800 has 2880 divisors, whose sum is σ = 96901185427200. Its totient is φ = 4505796771840.

The previous prime is 21231701920727. The next prime is 21231701920811. The reversal of 21231701920800 is 802910713212.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 479 ways as a sum of consecutive naturals, for example, 31361450062 + ... + 31361450738.

It is an arithmetic number, because the mean of its divisors is an integer number (33646244940).

Almost surely, 2^{21231701920800} is an apocalyptic number.

21231701920800 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 21231701920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48450592713600).

21231701920800 is an abundant number, since it is smaller than the sum of its proper divisors (75669483506400).

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

21231701920800 is a wasteful number, since it uses less digits than its factorization.

21231701920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 21231701920800 in words is "twenty-one trillion, two hundred thirty-one billion, seven hundred one million, nine hundred twenty thousand, eight hundred".