21594890304 has 315 divisors, whose sum is σ = 69761277927. Its totient is φ = 6602259456.

The previous prime is 21594890267. The next prime is 21594890327. The reversal of 21594890304 is 40309849512.

The square root of 21594890304 is 146952.

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

21594890304 is a `hidden beast` number, since 21 + 594 + 8 + 9 + 0 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6963568704 + 14631321600 = 83448^2 + 120960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21594890304.

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 44 ways as a sum of consecutive naturals, for example, 137546994 + ... + 137547150.

Almost surely, 2^21594890304 is an apocalyptic number.

21594890304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21594890304 is the 146952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21594890304

21594890304 is an abundant number, since it is smaller than the sum of its proper divisors (48166387623).

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

21594890304 is an equidigital number, since it uses as much as digits as its factorization.

21594890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21594890304 in words is "twenty-one billion, five hundred ninety-four million, eight hundred ninety thousand, three hundred four".