12886642677888 has 640 divisors, whose sum is σ = 44904836592000. Its totient is φ = 3666974976000.

The previous prime is 12886642677791. The next prime is 12886642677901. The reversal of 12886642677888 is 88877624668821.

12886642677888 is a `hidden beast` number, since 1 + 288 + 6 + 6 + 4 + 267 + 78 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 892605006 + ... + 892619442.

It is an arithmetic number, because the mean of its divisors is an integer number (70163807175).

Almost surely, 2^{12886642677888} is an apocalyptic number.

12886642677888 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 12886642677888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22452418296000).

12886642677888 is an abundant number, since it is smaller than the sum of its proper divisors (32018193914112).

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

12886642677888 is an equidigital number, since it uses as much as digits as its factorization.

12886642677888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735 (or 14700 counting only the distinct ones).

The product of its digits is 5549064192, while the sum is 81.

The spelling of 12886642677888 in words is "twelve trillion, eight hundred eighty-six billion, six hundred forty-two million, six hundred seventy-seven thousand, eight hundred eighty-eight".