21744529668160 has 448 divisors, whose sum is σ = 59488015168512. Its totient is φ = 7499574411264.

The previous prime is 21744529668151. The next prime is 21744529668161. The reversal of 21744529668160 is 6186692544712.

It is not an unprimeable number, because it can be changed into a prime (21744529668161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11609464984 + ... + 11609466856.

It is an arithmetic number, because the mean of its divisors is an integer number (132785748144).

Almost surely, 2^{21744529668160} is an apocalyptic number.

21744529668160 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 21744529668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29744007584256).

21744529668160 is an abundant number, since it is smaller than the sum of its proper divisors (37743485500352).

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

21744529668160 is a wasteful number, since it uses less digits than its factorization.

21744529668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 21744529668160 in words is "twenty-one trillion, seven hundred forty-four billion, five hundred twenty-nine million, six hundred sixty-eight thousand, one hundred sixty".