12584005000 has 160 divisors (see below), whose sum is σ = 33851664000. Its totient is φ = 4294656000.

The previous prime is 12584004971. The next prime is 12584005001. The reversal of 12584005000 is 50048521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12584005001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8994301 + ... + 8995699.

It is an arithmetic number, because the mean of its divisors is an integer number (211572900).

Almost surely, 2^12584005000 is an apocalyptic number.

12584005000 is a gapful number since it is divisible by the number (10) 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 12584005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925832000).

12584005000 is an abundant number, since it is smaller than the sum of its proper divisors (21267659000).

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

12584005000 is a wasteful number, since it uses less digits than its factorization.

12584005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 12584005000 in words is "twelve billion, five hundred eighty-four million, five thousand".