11809723680 has 72 divisors (see below), whose sum is σ = 40300686972. Its totient is φ = 3149259264.

The previous prime is 11809723609. The next prime is 11809723687. The reversal of 11809723680 is 8632790811.

11809723680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10921922064 + 887801616 = 104508^2 + 29796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11809723687) 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 11 ways as a sum of consecutive naturals, for example, 4099159 + ... + 4102038.

Almost surely, 2^11809723680 is an apocalyptic number.

11809723680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11809723680 is an abundant number, since it is smaller than the sum of its proper divisors (28490963292).

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

11809723680 is a wasteful number, since it uses less digits than its factorization.

11809723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201218 (or 8201207 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11809723680 in words is "eleven billion, eight hundred nine million, seven hundred twenty-three thousand, six hundred eighty".