11166431206200 has 48 divisors (see below), whose sum is σ = 34615936741080. Its totient is φ = 2977714988160.

The previous prime is 11166431206181. The next prime is 11166431206201. The reversal of 11166431206200 is 260213466111.

11166431206200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166431206201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9305358739 + ... + 9305359938.

Almost surely, 2^{11166431206200} is an apocalyptic number.

11166431206200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11166431206200 is an abundant number, since it is smaller than the sum of its proper divisors (23449505534880).

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

11166431206200 is a wasteful number, since it uses less digits than its factorization.

11166431206200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610718696 (or 18610718687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11166431206200 in words is "eleven trillion, one hundred sixty-six billion, four hundred thirty-one million, two hundred six thousand, two hundred".