21331084320000 has 2160 divisors, whose sum is σ = 98108955584640. Its totient is φ = 4499877888000.

The previous prime is 21331084319969. The next prime is 21331084320019. The reversal of 21331084320000 is 2348013312.

21331084320000 is a `hidden beast` number, since 2 + 1 + 331 + 0 + 8 + 4 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 3538076986 + ... + 3538083014.

Almost surely, 2^{21331084320000} is an apocalyptic number.

21331084320000 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 21331084320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49054477792320).

21331084320000 is an abundant number, since it is smaller than the sum of its proper divisors (76777871264640).

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

21331084320000 is an frugal number, since it uses more digits than its factorization.

21331084320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21331084320000 in words is "twenty-one trillion, three hundred thirty-one billion, eighty-four million, three hundred twenty thousand".