21589012624 has 45 divisors (see below), whose sum is σ = 42341623947. Its totient is φ = 10663736832.

The previous prime is 21589012607. The next prime is 21589012649. The reversal of 21589012624 is 42621098512.

It is a happy number.

The square root of 21589012624 is 146932.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29376400 + 21559636224 = 5420^2 + 146832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64062184 + ... + 64062520.

Almost surely, 2^21589012624 is an apocalyptic number.

21589012624 is the 146932-nd square number.

It is an amenable number.

21589012624 is a deficient number, since it is larger than the sum of its proper divisors (20752611323).

21589012624 is an frugal number, since it uses more digits than its factorization.

21589012624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 21589012624 in words is "twenty-one billion, five hundred eighty-nine million, twelve thousand, six hundred twenty-four".