12726648400 has 60 divisors (see below), whose sum is σ = 32185043200. Its totient is φ = 4822727040.

The previous prime is 12726648331. The next prime is 12726648413. The reversal of 12726648400 is 484662721.

It is a happy number.

12726648400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829680 + ... + 844879.

Almost surely, 2^12726648400 is an apocalyptic number.

12726648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12726648400 is an abundant number, since it is smaller than the sum of its proper divisors (19458394800).

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

12726648400 is a wasteful number, since it uses less digits than its factorization.

12726648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674596 (or 1674585 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 12726648400 in words is "twelve billion, seven hundred twenty-six million, six hundred forty-eight thousand, four hundred".