12757887171792 has 320 divisors, whose sum is σ = 41959580843520. Its totient is φ = 3635689881600.

The previous prime is 12757887171773. The next prime is 12757887171797. The reversal of 12757887171792 is 29717178875721.

It is a happy number.

12757887171792 is a `hidden beast` number, since 1 + 27 + 578 + 8 + 7 + 17 + 17 + 9 + 2 = 666.

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 12757887171792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12757887171797) by changing a digit.

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, 2289228718 + ... + 2289234290.

It is an arithmetic number, because the mean of its divisors is an integer number (131123690136).

Almost surely, 2^{12757887171792} is an apocalyptic number.

12757887171792 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 12757887171792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20979790421760).

12757887171792 is an abundant number, since it is smaller than the sum of its proper divisors (29201693671728).

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

12757887171792 is a wasteful number, since it uses less digits than its factorization.

12757887171792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7407 counting only the distinct ones).

The product of its digits is 193616640, while the sum is 72.

The spelling of 12757887171792 in words is "twelve trillion, seven hundred fifty-seven billion, eight hundred eighty-seven million, one hundred seventy-one thousand, seven hundred ninety-two".