12584205680 has 20 divisors (see below), whose sum is σ = 29258278392. Its totient is φ = 5033682240.

The previous prime is 12584205677. The next prime is 12584205691. The reversal of 12584205680 is 8650248521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78651206 + ... + 78651365.

Almost surely, 2^12584205680 is an apocalyptic number.

12584205680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12584205680 is an abundant number, since it is smaller than the sum of its proper divisors (16674072712).

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

12584205680 is a wasteful number, since it uses less digits than its factorization.

12584205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157302584 (or 157302578 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 12584205680 in words is "twelve billion, five hundred eighty-four million, two hundred five thousand, six hundred eighty".