12592683919872 has 640 divisors, whose sum is σ = 45936359884800. Its totient is φ = 3325390848000.

The previous prime is 12592683919859. The next prime is 12592683919919. The reversal of 12592683919872 is 27891938629521.

12592683919872 is a `hidden beast` number, since 1 + 2 + 5 + 92 + 68 + 391 + 98 + 7 + 2 = 666.

It is a super-3 number, since 3×12592683919872³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12592683919872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75298747 + ... + 75465797.

It is an arithmetic number, because the mean of its divisors is an integer number (71775562320).

Almost surely, 2^{12592683919872} is an apocalyptic number.

12592683919872 is a gapful number since it is divisible by the number (12) 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 12592683919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22968179942400).

12592683919872 is an abundant number, since it is smaller than the sum of its proper divisors (33343675964928).

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

12592683919872 is a wasteful number, since it uses less digits than its factorization.

12592683919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167145 (or 167123 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 12592683919872 in words is "twelve trillion, five hundred ninety-two billion, six hundred eighty-three million, nine hundred nineteen thousand, eight hundred seventy-two".