12009826584 has 320 divisors, whose sum is σ = 40686201600. Its totient is φ = 3233260800.

The previous prime is 12009826561. The next prime is 12009826601. The reversal of 12009826584 is 48562890021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28526694 + ... + 28527114.

It is an arithmetic number, because the mean of its divisors is an integer number (127144380).

Almost surely, 2^12009826584 is an apocalyptic number.

12009826584 is a gapful number since it is divisible by the number (14) 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 12009826584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343100800).

12009826584 is an abundant number, since it is smaller than the sum of its proper divisors (28676375016).

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

12009826584 is a wasteful number, since it uses less digits than its factorization.

12009826584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12009826584 in words is "twelve billion, nine million, eight hundred twenty-six thousand, five hundred eighty-four".