11664032911872 has 320 divisors, whose sum is σ = 34184360060928. Its totient is φ = 3504844800000.

The previous prime is 11664032911871. The next prime is 11664032911889. The reversal of 11664032911872 is 27811923046611.

It is not an unprimeable number, because it can be changed into a prime (11664032911871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533325093 + ... + 1533332699.

Almost surely, 2^{11664032911872} is an apocalyptic number.

11664032911872 is a gapful number since it is divisible by the number (12) 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 11664032911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17092180030464).

11664032911872 is an abundant number, since it is smaller than the sum of its proper divisors (22520327149056).

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

11664032911872 is a wasteful number, since it uses less digits than its factorization.

11664032911872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11664032911872 in words is "eleven trillion, six hundred sixty-four billion, thirty-two million, nine hundred eleven thousand, eight hundred seventy-two".