12676428108288 has 1440 divisors, whose sum is σ = 48419892892800. Its totient is φ = 3227442610176.

The previous prime is 12676428108259. The next prime is 12676428108353. The reversal of 12676428108288 is 88280182467621.

12676428108288 is a `hidden beast` number, since 1 + 2 + 6 + 76 + 4 + 281 + 0 + 8 + 288 = 666.

12676428108288 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7595222718 + ... + 7595224386.

It is an arithmetic number, because the mean of its divisors is an integer number (33624925620).

Almost surely, 2^{12676428108288} is an apocalyptic number.

12676428108288 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 12676428108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209946446400).

12676428108288 is an abundant number, since it is smaller than the sum of its proper divisors (35743464784512).

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

12676428108288 is an frugal number, since it uses more digits than its factorization.

12676428108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 12676428108288 in words is "twelve trillion, six hundred seventy-six billion, four hundred twenty-eight million, one hundred eight thousand, two hundred eighty-eight".