12746827831400 has 192 divisors, whose sum is σ = 32541024793200. Its totient is φ = 4615256309760.

The previous prime is 12746827831379. The next prime is 12746827831471. The reversal of 12746827831400 is 413872864721.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 546910537156 + 12199917294244 = 739534^2 + 3492838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27257954 + ... + 27721646.

Almost surely, 2^{12746827831400} is an apocalyptic number.

12746827831400 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 12746827831400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270512396600).

12746827831400 is an abundant number, since it is smaller than the sum of its proper divisors (19794196961800).

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

12746827831400 is a wasteful number, since it uses less digits than its factorization.

12746827831400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463928 (or 463919 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 12746827831400 in words is "twelve trillion, seven hundred forty-six billion, eight hundred twenty-seven million, eight hundred thirty-one thousand, four hundred".