11664094309920 has 1920 divisors, whose sum is σ = 47681026348032. Its totient is φ = 2664692121600.

The previous prime is 11664094309897. The next prime is 11664094309927. The reversal of 11664094309920 is 2990349046611.

It is a happy number.

11664094309920 is a `hidden beast` number, since 1 + 1 + 66 + 40 + 9 + 430 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11664094309927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12012455035 + ... + 12012456005.

Almost surely, 2^{11664094309920} is an apocalyptic number.

11664094309920 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 11664094309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840513174016).

11664094309920 is an abundant number, since it is smaller than the sum of its proper divisors (36016932038112).

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

11664094309920 is a wasteful number, since it uses less digits than its factorization.

11664094309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 11664094309920 in words is "eleven trillion, six hundred sixty-four billion, ninety-four million, three hundred nine thousand, nine hundred twenty".