12882991680 has 840 divisors, whose sum is σ = 52846129512. Its totient is φ = 2967404544.

The previous prime is 12882991603. The next prime is 12882991691. The reversal of 12882991680 is 8619928821.

It can be written as a sum of positive squares in 12 ways, for example, as 2605898304 + 10277093376 = 51048^2 + 101376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 74468074 + ... + 74468246.

Almost surely, 2^12882991680 is an apocalyptic number.

12882991680 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 12882991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26423064756).

12882991680 is an abundant number, since it is smaller than the sum of its proper divisors (39963137832).

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

12882991680 is a wasteful number, since it uses less digits than its factorization.

12882991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 12882991680 in words is "twelve billion, eight hundred eighty-two million, nine hundred ninety-one thousand, six hundred eighty".