12781769680 has 160 divisors (see below), whose sum is σ = 32195439360. Its totient is φ = 4703293440.

The previous prime is 12781769677. The next prime is 12781769683. The reversal of 12781769680 is 8696718721.

It is an interprime number because it is at equal distance from previous prime (12781769677) and next prime (12781769683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12781769683) 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 31 ways as a sum of consecutive naturals, for example, 19755117 + ... + 19755763.

It is an arithmetic number, because the mean of its divisors is an integer number (201221496).

Almost surely, 2^12781769680 is an apocalyptic number.

12781769680 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 12781769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097719680).

12781769680 is an abundant number, since it is smaller than the sum of its proper divisors (19413669680).

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

12781769680 is a wasteful number, since it uses less digits than its factorization.

12781769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 12781769680 in words is "twelve billion, seven hundred eighty-one million, seven hundred sixty-nine thousand, six hundred eighty".