21334291973280 has 1152 divisors, whose sum is σ = 90344606736384. Its totient is φ = 4512601497600.

The previous prime is 21334291973213. The next prime is 21334291973327. The reversal of 21334291973280 is 8237919243312.

21334291973280 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 291 + 9 + 73 + 280 = 666.

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 191 ways as a sum of consecutive naturals, for example, 274452499 + ... + 274530221.

It is an arithmetic number, because the mean of its divisors is an integer number (78424137792).

Almost surely, 2^{21334291973280} is an apocalyptic number.

21334291973280 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 21334291973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45172303368192).

21334291973280 is an abundant number, since it is smaller than the sum of its proper divisors (69010314763104).

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

21334291973280 is a wasteful number, since it uses less digits than its factorization.

21334291973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77842 (or 77831 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 21334291973280 in words is "twenty-one trillion, three hundred thirty-four billion, two hundred ninety-one million, nine hundred seventy-three thousand, two hundred eighty".