12584007040 has 128 divisors (see below), whose sum is σ = 34546176000. Its totient is φ = 4335114240.

The previous prime is 12584007001. The next prime is 12584007047. The reversal of 12584007040 is 4070048521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12584006993 and 12584007011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584007047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86721 + ... + 180799.

It is an arithmetic number, because the mean of its divisors is an integer number (269892000).

Almost surely, 2^12584007040 is an apocalyptic number.

12584007040 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 12584007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088000).

12584007040 is an abundant number, since it is smaller than the sum of its proper divisors (21962168960).

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

12584007040 is a wasteful number, since it uses less digits than its factorization.

12584007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94128 (or 94116 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 12584007040 in words is "twelve billion, five hundred eighty-four million, seven thousand, forty".