11665666100 has 72 divisors (see below), whose sum is σ = 27926337600. Its totient is φ = 4194361600.

The previous prime is 11665666057. The next prime is 11665666109. The reversal of 11665666100 is 166656611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11665666109) 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, 38321 + ... + 157479.

It is an arithmetic number, because the mean of its divisors is an integer number (387865800).

Almost surely, 2^11665666100 is an apocalyptic number.

11665666100 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 11665666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963168800).

11665666100 is an abundant number, since it is smaller than the sum of its proper divisors (16260671500).

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

11665666100 is a wasteful number, since it uses less digits than its factorization.

11665666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119273 (or 119266 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 11665666100 in words is "eleven billion, six hundred sixty-five million, six hundred sixty-six thousand, one hundred".