12890679943680 has 1440 divisors, whose sum is σ = 57521127590784. Its totient is φ = 2591834112000.

The previous prime is 12890679943667. The next prime is 12890679943703. The reversal of 12890679943680 is 8634997609821.

12890679943680 is a `hidden beast` number, since 1 + 28 + 9 + 0 + 6 + 7 + 99 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 12890679943599 and 12890679943608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1704887100 + ... + 1704894660.

Almost surely, 2^{12890679943680} is an apocalyptic number.

12890679943680 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 12890679943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28760563795392).

12890679943680 is an abundant number, since it is smaller than the sum of its proper divisors (44630447647104).

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

12890679943680 is a wasteful number, since it uses less digits than its factorization.

12890679943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 12890679943680 in words is "twelve trillion, eight hundred ninety billion, six hundred seventy-nine million, nine hundred forty-three thousand, six hundred eighty".