12782359209984 has 768 divisors, whose sum is σ = 43747181936640. Its totient is φ = 3228366274560.

The previous prime is 12782359209943. The next prime is 12782359210013. The reversal of 12782359209984 is 48990295328721.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681221927 + ... + 1681229529.

It is an arithmetic number, because the mean of its divisors is an integer number (56962476480).

Almost surely, 2^{12782359209984} is an apocalyptic number.

12782359209984 is a gapful number since it is divisible by the number (14) 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 12782359209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873590968320).

12782359209984 is an abundant number, since it is smaller than the sum of its proper divisors (30964822726656).

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

12782359209984 is a wasteful number, since it uses less digits than its factorization.

12782359209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 12782359209984 in words is "twelve trillion, seven hundred eighty-two billion, three hundred fifty-nine million, two hundred nine thousand, nine hundred eighty-four".