12841678080 has 864 divisors, whose sum is σ = 57303687168. Its totient is φ = 2576793600.

The previous prime is 12841678061. The next prime is 12841678103. The reversal of 12841678080 is 8087614821.

12841678080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498007 + ... + 27498473.

It is an arithmetic number, because the mean of its divisors is an integer number (66323712).

Almost surely, 2^12841678080 is an apocalyptic number.

12841678080 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 12841678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651843584).

12841678080 is an abundant number, since it is smaller than the sum of its proper divisors (44462009088).

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

12841678080 is a wasteful number, since it uses less digits than its factorization.

12841678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12841678080 in words is "twelve billion, eight hundred forty-one million, six hundred seventy-eight thousand, eighty".