12838484960 has 288 divisors, whose sum is σ = 36621305280. Its totient is φ = 4162904064.

The previous prime is 12838484959. The next prime is 12838484963. The reversal of 12838484960 is 6948483821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838484963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144252596 + ... + 144252684.

It is an arithmetic number, because the mean of its divisors is an integer number (127157310).

Almost surely, 2^12838484960 is an apocalyptic number.

12838484960 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 12838484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18310652640).

12838484960 is an abundant number, since it is smaller than the sum of its proper divisors (23782820320).

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

12838484960 is an equidigital number, since it uses as much as digits as its factorization.

12838484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 12838484960 in words is "twelve billion, eight hundred thirty-eight million, four hundred eighty-four thousand, nine hundred sixty".