13806665600 has 384 divisors, whose sum is σ = 44462779200. Its totient is φ = 4111073280.

The previous prime is 13806665569. The next prime is 13806665657. The reversal of 13806665600 is 656660831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4949006 + ... + 4951794.

Almost surely, 2^13806665600 is an apocalyptic number.

13806665600 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 13806665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231389600).

13806665600 is an abundant number, since it is smaller than the sum of its proper divisors (30656113600).

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

13806665600 is a wasteful number, since it uses less digits than its factorization.

13806665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 13806665600 in words is "thirteen billion, eight hundred six million, six hundred sixty-five thousand, six hundred".