11501239680 has 256 divisors, whose sum is σ = 46553126400. Its totient is φ = 2628827136.

The previous prime is 11501239679. The next prime is 11501239697. The reversal of 11501239680 is 8693210511.

11501239680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73419 + ... + 168501.

It is an arithmetic number, because the mean of its divisors is an integer number (181848150).

Almost surely, 2^11501239680 is an apocalyptic number.

11501239680 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 11501239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23276563200).

11501239680 is an abundant number, since it is smaller than the sum of its proper divisors (35051886720).

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

11501239680 is an equidigital number, since it uses as much as digits as its factorization.

11501239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95118 (or 95100 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11501239680 in words is "eleven billion, five hundred one million, two hundred thirty-nine thousand, six hundred eighty".