12807898430976 has 720 divisors, whose sum is σ = 41078410813440. Its totient is φ = 3838683340800.

The previous prime is 12807898430953. The next prime is 12807898431019. The reversal of 12807898430976 is 67903489870821.

12807898430976 is a `hidden beast` number, since 1 + 28 + 0 + 7 + 89 + 8 + 430 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29716701481 + ... + 29716701911.

It is an arithmetic number, because the mean of its divisors is an integer number (57053348352).

Almost surely, 2^{12807898430976} is an apocalyptic number.

12807898430976 is a gapful number since it is divisible by the number (16) 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 12807898430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539205406720).

12807898430976 is an abundant number, since it is smaller than the sum of its proper divisors (28270512382464).

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

12807898430976 is a wasteful number, since it uses less digits than its factorization.

12807898430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 12807898430976 in words is "twelve trillion, eight hundred seven billion, eight hundred ninety-eight million, four hundred thirty thousand, nine hundred seventy-six".