12686759078400 has 2880 divisors, whose sum is σ = 54165260058624. Its totient is φ = 2804465664000.

The previous prime is 12686759078359. The next prime is 12686759078401. The reversal of 12686759078400 is 487095768621.

12686759078400 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 75 + 90 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (12686759078401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 66422822305 + ... + 66422822495.

Almost surely, 2^{12686759078400} is an apocalyptic number.

12686759078400 is a gapful number since it is divisible by the number (10) 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 12686759078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27082630029312).

12686759078400 is an abundant number, since it is smaller than the sum of its proper divisors (41478500980224).

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

12686759078400 is a wasteful number, since it uses less digits than its factorization.

12686759078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 12686759078400 in words is "twelve trillion, six hundred eighty-six billion, seven hundred fifty-nine million, seventy-eight thousand, four hundred".