12829017760 has 96 divisors (see below), whose sum is σ = 32669844480. Its totient is φ = 4732535808.

The previous prime is 12829017743. The next prime is 12829017769. The reversal of 12829017760 is 6771092821.

12829017760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12829017769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3082561 + ... + 3086719.

It is an arithmetic number, because the mean of its divisors is an integer number (340310880).

Almost surely, 2^12829017760 is an apocalyptic number.

12829017760 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 12829017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334922240).

12829017760 is an abundant number, since it is smaller than the sum of its proper divisors (19840826720).

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

12829017760 is a wasteful number, since it uses less digits than its factorization.

12829017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 12829017760 in words is "twelve billion, eight hundred twenty-nine million, seventeen thousand, seven hundred sixty".