12960258408 has 96 divisors (see below), whose sum is σ = 36654508800. Its totient is φ = 4129133184.

The previous prime is 12960258403. The next prime is 12960258419. The reversal of 12960258408 is 80485206921.

12960258408 is a `hidden beast` number, since 1 + 2 + 9 + 60 + 2 + 584 + 0 + 8 = 666.

12960258408 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 (12960258403) 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 23 ways as a sum of consecutive naturals, for example, 3305073 + ... + 3308991.

It is an arithmetic number, because the mean of its divisors is an integer number (381817800).

Almost surely, 2^12960258408 is an apocalyptic number.

12960258408 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 12960258408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327254400).

12960258408 is an abundant number, since it is smaller than the sum of its proper divisors (23694250392).

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

12960258408 is a wasteful number, since it uses less digits than its factorization.

12960258408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12960258408 in words is "twelve billion, nine hundred sixty million, two hundred fifty-eight thousand, four hundred eight".