12869978774328 has 768 divisors, whose sum is σ = 42400350720000. Its totient is φ = 3487763017728.

The previous prime is 12869978774321. The next prime is 12869978774381. The reversal of 12869978774328 is 82347787996821.

12869978774328 is a `hidden beast` number, since 1 + 2 + 8 + 69 + 97 + 87 + 74 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12869978774321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2864448850 + ... + 2864453342.

It is an arithmetic number, because the mean of its divisors is an integer number (55208790000).

Almost surely, 2^{12869978774328} is an apocalyptic number.

12869978774328 is a gapful number since it is divisible by the number (18) 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 12869978774328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200175360000).

12869978774328 is an abundant number, since it is smaller than the sum of its proper divisors (29530371945672).

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

12869978774328 is a wasteful number, since it uses less digits than its factorization.

12869978774328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4749 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 12869978774328 in words is "twelve trillion, eight hundred sixty-nine billion, nine hundred seventy-eight million, seven hundred seventy-four thousand, three hundred twenty-eight".