12427775913696 has 1152 divisors, whose sum is σ = 41769496903680. Its totient is φ = 3199472640000.

The previous prime is 12427775913673. The next prime is 12427775913697. The reversal of 12427775913696 is 69631957772421.

It is a super-2 number, since 2×12427775913696² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12427775913696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427775913697) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11391178111 + ... + 11391179201.

It is an arithmetic number, because the mean of its divisors is an integer number (36258243840).

Almost surely, 2^{12427775913696} is an apocalyptic number.

12427775913696 is a gapful number since it is divisible by the number (16) 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 12427775913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884748451840).

12427775913696 is an abundant number, since it is smaller than the sum of its proper divisors (29341720989984).

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

12427775913696 is a wasteful number, since it uses less digits than its factorization.

12427775913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1251 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 69.

The spelling of 12427775913696 in words is "twelve trillion, four hundred twenty-seven billion, seven hundred seventy-five million, nine hundred thirteen thousand, six hundred ninety-six".