12905742758585 has 24 divisors (see below), whose sum is σ = 16554397255560. Its totient is φ = 9647006718720.

The previous prime is 12905742758581. The next prime is 12905742758659. The reversal of 12905742758585 is 58585724750921.

It can be written as a sum of positive squares in 4 ways, for example, as 4391929150249 + 8513813608336 = 2095693^2 + 2917844^2 .

It is not a de Polignac number, because 12905742758585 - 2² = 12905742758581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12905742758581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46169252 + ... + 46447941.

It is an arithmetic number, because the mean of its divisors is an integer number (689766552315).

Almost surely, 2^{12905742758585} is an apocalyptic number.

It is an amenable number.

12905742758585 is a deficient number, since it is larger than the sum of its proper divisors (3648654496975).

12905742758585 is an equidigital number, since it uses as much as digits as its factorization.

12905742758585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92617289 (or 92617258 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 68.

The spelling of 12905742758585 in words is "twelve trillion, nine hundred five billion, seven hundred forty-two million, seven hundred fifty-eight thousand, five hundred eighty-five".