12585907257966 has 320 divisors, whose sum is σ = 33794057088000. Its totient is φ = 3423089134080.

The previous prime is 12585907257923. The next prime is 12585907257967. The reversal of 12585907257966 is 66975270958521.

12585907257966 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 590 + 7 + 25 + 7 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×12585907257966² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12585907257894 and 12585907257903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585907257967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5479279330 + ... + 5479281626.

It is an arithmetic number, because the mean of its divisors is an integer number (105606428400).

Almost surely, 2^{12585907257966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585907257966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897028544000).

12585907257966 is an abundant number, since it is smaller than the sum of its proper divisors (21208149830034).

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

12585907257966 is a wasteful number, since it uses less digits than its factorization.

12585907257966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 12585907257966 in words is "twelve trillion, five hundred eighty-five billion, nine hundred seven million, two hundred fifty-seven thousand, nine hundred sixty-six".