12085711662528 has 224 divisors, whose sum is σ = 41702879052800. Its totient is φ = 3359734391808.

The previous prime is 12085711662389. The next prime is 12085711662529. The reversal of 12085711662528 is 82526611758021.

12085711662528 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 7 + 1 + 1 + 6 + 625 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085711662529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13054468 + ... + 13949571.

It is an arithmetic number, because the mean of its divisors is an integer number (186173567200).

Almost surely, 2^{12085711662528} is an apocalyptic number.

12085711662528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12085711662528 is an abundant number, since it is smaller than the sum of its proper divisors (29617167390272).

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

12085711662528 is a wasteful number, since it uses less digits than its factorization.

12085711662528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27004104 (or 27004088 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 12085711662528 in words is "twelve trillion, eighty-five billion, seven hundred eleven million, six hundred sixty-two thousand, five hundred twenty-eight".