13667412268800 has 540 divisors, whose sum is σ = 51227047804240. Its totient is φ = 3594706698240.

The previous prime is 13667412268799. The next prime is 13667412268837. The reversal of 13667412268800 is 886221476631.

It is a happy number.

13667412268800 is a `hidden beast` number, since 1 + 36 + 67 + 412 + 2 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 37662621 + ... + 38023779.

Almost surely, 2^{13667412268800} is an apocalyptic number.

13667412268800 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 13667412268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613523902120).

13667412268800 is an abundant number, since it is smaller than the sum of its proper divisors (37559635535440).

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

13667412268800 is an equidigital number, since it uses as much as digits as its factorization.

13667412268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361270 (or 361242 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13667412268800 in words is "thirteen trillion, six hundred sixty-seven billion, four hundred twelve million, two hundred sixty-eight thousand, eight hundred".