12769711040 has 56 divisors (see below), whose sum is σ = 30495770352. Its totient is φ = 5093120000.

The previous prime is 12769711039. The next prime is 12769711049. The reversal of 12769711040 is 4011796721.

It is a junction number, because it is equal to n+sod(n) for n = 12769710985 and 12769711003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12769711049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53540 + ... + 168540.

Almost surely, 2^12769711040 is an apocalyptic number.

12769711040 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 12769711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247885176).

12769711040 is an abundant number, since it is smaller than the sum of its proper divisors (17726059312).

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

12769711040 is a wasteful number, since it uses less digits than its factorization.

12769711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115365 (or 115355 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 12769711040 in words is "twelve billion, seven hundred sixty-nine million, seven hundred eleven thousand, forty".