12816276295680 has 3744 divisors, whose sum is σ = 58501794274560. Its totient is φ = 2648687247360.

The previous prime is 12816276295679. The next prime is 12816276295681. The reversal of 12816276295680 is 8659267261821.

12816276295680 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 2 + 7 + 62 + 9 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12816276295679) and next prime (12816276295681).

It is a tau number, because it is divible by the number of its divisors (3744).

It is not an unprimeable number, because it can be changed into a prime (12816276295681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 441940561906 + ... + 441940561934.

It is an arithmetic number, because the mean of its divisors is an integer number (15625479240).

Almost surely, 2^{12816276295680} is an apocalyptic number.

12816276295680 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 12816276295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29250897137280).

12816276295680 is an abundant number, since it is smaller than the sum of its proper divisors (45685517978880).

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

12816276295680 is an equidigital number, since it uses as much as digits as its factorization.

12816276295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 12816276295680 in words is "twelve trillion, eight hundred sixteen billion, two hundred seventy-six million, two hundred ninety-five thousand, six hundred eighty".