13666102573900 has 144 divisors (see below), whose sum is σ = 35920825920000. Its totient is φ = 4405570421760.

The previous prime is 13666102573859. The next prime is 13666102573913. The reversal of 13666102573900 is 937520166631.

It is a super-2 number, since 2×13666102573900² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11562601 + ... + 12689599.

It is an arithmetic number, because the mean of its divisors is an integer number (249450180000).

Almost surely, 2^{13666102573900} is an apocalyptic number.

13666102573900 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 13666102573900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960412960000).

13666102573900 is an abundant number, since it is smaller than the sum of its proper divisors (22254723346100).

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

13666102573900 is a wasteful number, since it uses less digits than its factorization.

13666102573900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128056 (or 1128049 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 13666102573900 in words is "thirteen trillion, six hundred sixty-six billion, one hundred two million, five hundred seventy-three thousand, nine hundred".