12782815672 has 64 divisors (see below), whose sum is σ = 27151860960. Its totient is φ = 5590886400.

The previous prime is 12782815651. The next prime is 12782815679. The reversal of 12782815672 is 27651828721.

It is a happy number.

It is a super-3 number, since 3×12782815672³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12782815679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239118 + ... + 287650.

Almost surely, 2^12782815672 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 12782815672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575930480).

12782815672 is an abundant number, since it is smaller than the sum of its proper divisors (14369045288).

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

12782815672 is a wasteful number, since it uses less digits than its factorization.

12782815672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48664 (or 48660 counting only the distinct ones).

The product of its digits is 752640, while the sum is 49.

The spelling of 12782815672 in words is "twelve billion, seven hundred eighty-two million, eight hundred fifteen thousand, six hundred seventy-two".