21717327424 has 105 divisors (see below), whose sum is σ = 47118718437. Its totient is φ = 9931424256.

The previous prime is 21717327407. The next prime is 21717327451. The reversal of 21717327424 is 42472371712.

The square root of 21717327424 is 147368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 20802869824 + 914457600 = 144232^2 + 30240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 199241482 + ... + 199241590.

Almost surely, 2^21717327424 is an apocalyptic number.

21717327424 is the 147368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21717327424

21717327424 is an abundant number, since it is smaller than the sum of its proper divisors (25401391013).

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

21717327424 is an frugal number, since it uses more digits than its factorization.

21717327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 124 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The spelling of 21717327424 in words is "twenty-one billion, seven hundred seventeen million, three hundred twenty-seven thousand, four hundred twenty-four".