21724364160000 has 880 divisors, whose sum is σ = 81532522241280. Its totient is φ = 5711247360000.

The previous prime is 21724364159963. The next prime is 21724364160001. The reversal of 21724364160000 is 6146342712.

21724364160000 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 4 + 3 + 6 + 41 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21724364160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1226871147 + ... + 1226888853.

It is an arithmetic number, because the mean of its divisors is an integer number (92650593456).

Almost surely, 2^{21724364160000} is an apocalyptic number.

21724364160000 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 21724364160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40766261120640).

21724364160000 is an abundant number, since it is smaller than the sum of its proper divisors (59808158081280).

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

21724364160000 is an equidigital number, since it uses as much as digits as its factorization.

21724364160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17827 (or 17788 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21724364160000 in words is "twenty-one trillion, seven hundred twenty-four billion, three hundred sixty-four million, one hundred sixty thousand".