11724508320 has 768 divisors, whose sum is σ = 47029248000. Its totient is φ = 2444574720.

The previous prime is 11724508283. The next prime is 11724508321. The reversal of 11724508320 is 2380542711.

11724508320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11724508321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165133885 + ... + 165133955.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 2^11724508320 is an apocalyptic number.

11724508320 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 11724508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624000).

11724508320 is an abundant number, since it is smaller than the sum of its proper divisors (35304739680).

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

11724508320 is a wasteful number, since it uses less digits than its factorization.

11724508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11724508320 in words is "eleven billion, seven hundred twenty-four million, five hundred eight thousand, three hundred twenty".