21744480000 has 360 divisors, whose sum is σ = 73273107600. Its totient is φ = 5722112000.

The previous prime is 21744479957. The next prime is 21744480041. The reversal of 21744480000 is 8444712.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21744480000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42719746 + ... + 42720254.

It is an arithmetic number, because the mean of its divisors is an integer number (203536410).

Almost surely, 2^21744480000 is an apocalyptic number.

21744480000 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 21744480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36636553800).

21744480000 is an abundant number, since it is smaller than the sum of its proper divisors (51528627600).

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

21744480000 is an frugal number, since it uses more digits than its factorization.

21744480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 21744480000 in words is "twenty-one billion, seven hundred forty-four million, four hundred eighty thousand".