12818607548160 has 288 divisors, whose sum is σ = 41885143050240. Its totient is φ = 3340224036864.

The previous prime is 12818607548141. The next prime is 12818607548171. The reversal of 12818607548160 is 6184570681821.

It is a self number, because there is not a number n which added to its sum of digits gives 12818607548160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29208109 + ... + 29643731.

It is an arithmetic number, because the mean of its divisors is an integer number (145434524480).

Almost surely, 2^{12818607548160} is an apocalyptic number.

12818607548160 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 12818607548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20942571525120).

12818607548160 is an abundant number, since it is smaller than the sum of its proper divisors (29066535502080).

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

12818607548160 is an equidigital number, since it uses as much as digits as its factorization.

12818607548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435823 (or 435809 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 12818607548160 in words is "twelve trillion, eight hundred eighteen billion, six hundred seven million, five hundred forty-eight thousand, one hundred sixty".