13666378900 has 72 divisors (see below), whose sum is σ = 31240188000. Its totient is φ = 5174974080.

The previous prime is 13666378889. The next prime is 13666378909. The reversal of 13666378900 is 987366631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13666378909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4898706 + ... + 4901494.

It is an arithmetic number, because the mean of its divisors is an integer number (433891500).

Almost surely, 2^13666378900 is an apocalyptic number.

13666378900 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 13666378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620094000).

13666378900 is an abundant number, since it is smaller than the sum of its proper divisors (17573809100).

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

13666378900 is a wasteful number, since it uses less digits than its factorization.

13666378900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 13666378900 in words is "thirteen billion, six hundred sixty-six million, three hundred seventy-eight thousand, nine hundred".