13667984828400 has 480 divisors, whose sum is σ = 51696436359168. Its totient is φ = 3020730163200.

The previous prime is 13667984828389. The next prime is 13667984828423. The reversal of 13667984828400 is 482848976631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310635202 + ... + 310679198.

Almost surely, 2^{13667984828400} is an apocalyptic number.

13667984828400 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 13667984828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25848218179584).

13667984828400 is an abundant number, since it is smaller than the sum of its proper divisors (38028451530768).

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

13667984828400 is a wasteful number, since it uses less digits than its factorization.

13667984828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45249 (or 45238 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 13667984828400 in words is "thirteen trillion, six hundred sixty-seven billion, nine hundred eighty-four million, eight hundred twenty-eight thousand, four hundred".