12085287593617 has 8 divisors (see below), whose sum is σ = 14412268434816. Its totient is φ = 9908434548672.

The previous prime is 12085287593597. The next prime is 12085287593623. The reversal of 12085287593617 is 71639578258021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12085287593617 is a prime.

It is a super-4 number, since 4×12085287593617⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12085287593647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37531948888 + ... + 37531949209.

It is an arithmetic number, because the mean of its divisors is an integer number (1801533554352).

Almost surely, 2^{12085287593617} is an apocalyptic number.

It is an amenable number.

12085287593617 is a deficient number, since it is larger than the sum of its proper divisors (2326980841199).

12085287593617 is an equidigital number, since it uses as much as digits as its factorization.

12085287593617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75063898127.

The product of its (nonzero) digits is 50803200, while the sum is 64.

The spelling of 12085287593617 in words is "twelve trillion, eighty-five billion, two hundred eighty-seven million, five hundred ninety-three thousand, six hundred seventeen".