12585686374360 has 128 divisors (see below), whose sum is σ = 31104889885440. Its totient is φ = 4545124646400.

The previous prime is 12585686374351. The next prime is 12585686374423. The reversal of 12585686374360 is 6347368658521.

It is a junction number, because it is equal to n+sod(n) for n = 12585686374292 and 12585686374301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137216115 + ... + 137307805.

It is an arithmetic number, because the mean of its divisors is an integer number (243006952230).

Almost surely, 2^{12585686374360} is an apocalyptic number.

12585686374360 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 12585686374360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552444942720).

12585686374360 is an abundant number, since it is smaller than the sum of its proper divisors (18519203511080).

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

12585686374360 is a wasteful number, since it uses less digits than its factorization.

12585686374360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93857 (or 93853 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 12585686374360 in words is "twelve trillion, five hundred eighty-five billion, six hundred eighty-six million, three hundred seventy-four thousand, three hundred sixty".