12985383116160 has 768 divisors, whose sum is σ = 58092547968000. Its totient is φ = 2595572563968.

The previous prime is 12985383116143. The next prime is 12985383116207. The reversal of 12985383116160 is 6161138358921.

12985383116160 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 5 + 3 + 8 + 3 + 11 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12985383116097 and 12985383116106.

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 95 ways as a sum of consecutive naturals, for example, 9307101 + ... + 10610979.

It is an arithmetic number, because the mean of its divisors is an integer number (75641338500).

Almost surely, 2^{12985383116160} is an apocalyptic number.

12985383116160 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 12985383116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29046273984000).

12985383116160 is an abundant number, since it is smaller than the sum of its proper divisors (45107164851840).

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

12985383116160 is a wasteful number, since it uses less digits than its factorization.

12985383116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303943 (or 1303928 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 12985383116160 in words is "twelve trillion, nine hundred eighty-five billion, three hundred eighty-three million, one hundred sixteen thousand, one hundred sixty".