12582869152 has 144 divisors (see below), whose sum is σ = 29623853952. Its totient is φ = 5242890240.

The previous prime is 12582869137. The next prime is 12582869153. The reversal of 12582869152 is 25196828521.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 12582869096 and 12582869105.

It is not an unprimeable number, because it can be changed into a prime (12582869153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29059528 + ... + 29059960.

It is an arithmetic number, because the mean of its divisors is an integer number (205721208).

Almost surely, 2^12582869152 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 12582869152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811926976).

12582869152 is an abundant number, since it is smaller than the sum of its proper divisors (17040984800).

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

12582869152 is a wasteful number, since it uses less digits than its factorization.

12582869152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 916 counting only the distinct ones).

The product of its digits is 691200, while the sum is 49.

The spelling of 12582869152 in words is "twelve billion, five hundred eighty-two million, eight hundred sixty-nine thousand, one hundred fifty-two".