12787009895268 has 192 divisors, whose sum is σ = 38131107840000. Its totient is φ = 3629986005888.

The previous prime is 12787009895227. The next prime is 12787009895299. The reversal of 12787009895268 is 86259890078721.

12787009895268 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 0 + 0 + 98 + 9 + 526 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12787009895196 and 12787009895205.

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, 108110130 + ... + 108228342.

It is an arithmetic number, because the mean of its divisors is an integer number (198599520000).

Almost surely, 2^{12787009895268} is an apocalyptic number.

12787009895268 is a gapful number since it is divisible by the number (18) 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 12787009895268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065553920000).

12787009895268 is an abundant number, since it is smaller than the sum of its proper divisors (25344097944732).

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

12787009895268 is a wasteful number, since it uses less digits than its factorization.

12787009895268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119151 (or 119143 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 12787009895268 in words is "twelve trillion, seven hundred eighty-seven billion, nine million, eight hundred ninety-five thousand, two hundred sixty-eight".