12582654864 has 80 divisors (see below), whose sum is σ = 35315572992. Its totient is φ = 3837302784.

The previous prime is 12582654757. The next prime is 12582654869. The reversal of 12582654864 is 46845628521.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12582654869) 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, 18712 + ... + 159735.

Almost surely, 2^12582654864 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 12582654864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657786496).

12582654864 is an abundant number, since it is smaller than the sum of its proper divisors (22732918128).

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

12582654864 is a wasteful number, since it uses less digits than its factorization.

12582654864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178584 (or 178578 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 12582654864 in words is "twelve billion, five hundred eighty-two million, six hundred fifty-four thousand, eight hundred sixty-four".