21084590592 has 480 divisors, whose sum is σ = 69372903600. Its totient is φ = 6118834176.

The previous prime is 21084590543. The next prime is 21084590609. The reversal of 21084590592 is 29509548012.

It is a happy number.

21084590592 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 4 + 59 + 0 + 592 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14480752896 + 6603837696 = 120336^2 + 81264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92072334 + ... + 92072562.

Almost surely, 2^21084590592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21084590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686451800).

21084590592 is an abundant number, since it is smaller than the sum of its proper divisors (48288313008).

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

21084590592 is a wasteful number, since it uses less digits than its factorization.

21084590592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 21084590592 in words is "twenty-one billion, eighty-four million, five hundred ninety thousand, five hundred ninety-two".