11686833900 has 360 divisors, whose sum is σ = 44124363360. Its totient is φ = 2620200960.

The previous prime is 11686833887. The next prime is 11686833913. The reversal of 11686833900 is 933868611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11686833887) and next prime (11686833913).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3003156 + ... + 3007044.

It is an arithmetic number, because the mean of its divisors is an integer number (122567676).

Almost surely, 2^11686833900 is an apocalyptic number.

11686833900 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 11686833900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062181680).

11686833900 is an abundant number, since it is smaller than the sum of its proper divisors (32437529460).

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

11686833900 is a wasteful number, since it uses less digits than its factorization.

11686833900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11686833900 in words is "eleven billion, six hundred eighty-six million, eight hundred thirty-three thousand, nine hundred".