12685269168000 has 4096 divisors, whose sum is σ = 59589192499200. Its totient is φ = 2604662784000.

The previous prime is 12685269167981. The next prime is 12685269168007. The reversal of 12685269168000 is 86196258621.

12685269168000 is a `hidden beast` number, since 1 + 26 + 8 + 526 + 9 + 16 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×12685269168000² (a number of 27 digits) contains 22 as substring.

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 (12685269168007) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49359023872 + ... + 49359024128.

It is an arithmetic number, because the mean of its divisors is an integer number (14548142700).

Almost surely, 2^{12685269168000} is an apocalyptic number.

12685269168000 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 12685269168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794596249600).

12685269168000 is an abundant number, since it is smaller than the sum of its proper divisors (46903923331200).

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

12685269168000 is a wasteful number, since it uses less digits than its factorization.

12685269168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12685269168000 in words is "twelve trillion, six hundred eighty-five billion, two hundred sixty-nine million, one hundred sixty-eight thousand".