11664115800 has 192 divisors, whose sum is σ = 37581404160. Its totient is φ = 2989440000.

The previous prime is 11664115759. The next prime is 11664115811. The reversal of 11664115800 is 851146611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806524 + ... + 2810676.

It is an arithmetic number, because the mean of its divisors is an integer number (195736480).

Almost surely, 2^11664115800 is an apocalyptic number.

11664115800 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 11664115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790702080).

11664115800 is an abundant number, since it is smaller than the sum of its proper divisors (25917288360).

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

11664115800 is a wasteful number, since it uses less digits than its factorization.

11664115800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11664115800 in words is "eleven billion, six hundred sixty-four million, one hundred fifteen thousand, eight hundred".