11509327872 has 144 divisors (see below), whose sum is σ = 37990199520. Its totient is φ = 3288342528.

The previous prime is 11509327861. The next prime is 11509327873. The reversal of 11509327872 is 27872390511.

11509327872 is a `hidden beast` number, since 1 + 1 + 509 + 3 + 2 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11509327873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84423 + ... + 173625.

It is an arithmetic number, because the mean of its divisors is an integer number (263820830).

Almost surely, 2^11509327872 is an apocalyptic number.

11509327872 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 11509327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995099760).

11509327872 is an abundant number, since it is smaller than the sum of its proper divisors (26480871648).

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

11509327872 is an equidigital number, since it uses as much as digits as its factorization.

11509327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89238 (or 89215 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11509327872 in words is "eleven billion, five hundred nine million, three hundred twenty-seven thousand, eight hundred seventy-two".