12668053281600 has 1008 divisors, whose sum is σ = 46613626457600. Its totient is φ = 3003063828480.

The previous prime is 12668053281553. The next prime is 12668053281607. The reversal of 12668053281600 is 618235086621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12668053281600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668053281607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13784605941 + ... + 13784606859.

Almost surely, 2^{12668053281600} is an apocalyptic number.

12668053281600 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 12668053281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306813228800).

12668053281600 is an abundant number, since it is smaller than the sum of its proper divisors (33945573176000).

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

12668053281600 is a wasteful number, since it uses less digits than its factorization.

12668053281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 12668053281600 in words is "twelve trillion, six hundred sixty-eight billion, fifty-three million, two hundred eighty-one thousand, six hundred".