12893191790976 has 864 divisors, whose sum is σ = 46778851033200. Its totient is φ = 3466619928576.

The previous prime is 12893191790939. The next prime is 12893191791041. The reversal of 12893191790976 is 67909719139821.

12893191790976 is a `hidden beast` number, since 1 + 289 + 3 + 191 + 7 + 90 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×12893191790976³ (a number of 40 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1698927790 + ... + 1698935378.

Almost surely, 2^{12893191790976} is an apocalyptic number.

12893191790976 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 12893191790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23389425516600).

12893191790976 is an abundant number, since it is smaller than the sum of its proper divisors (33885659242224).

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

12893191790976 is an frugal number, since it uses more digits than its factorization.

12893191790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 72.

The spelling of 12893191790976 in words is "twelve trillion, eight hundred ninety-three billion, one hundred ninety-one million, seven hundred ninety thousand, nine hundred seventy-six".