11809076112 has 120 divisors (see below), whose sum is σ = 35134313760. Its totient is φ = 3689856000.

The previous prime is 11809076107. The next prime is 11809076113. The reversal of 11809076112 is 21167090811.

11809076112 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 not an unprimeable number, because it can be changed into a prime (11809076113) 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 23 ways as a sum of consecutive naturals, for example, 604839 + ... + 624057.

It is an arithmetic number, because the mean of its divisors is an integer number (292785948).

Almost surely, 2^11809076112 is an apocalyptic number.

11809076112 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 11809076112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567156880).

11809076112 is an abundant number, since it is smaller than the sum of its proper divisors (23325237648).

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

11809076112 is a wasteful number, since it uses less digits than its factorization.

11809076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19501 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11809076112 in words is "eleven billion, eight hundred nine million, seventy-six thousand, one hundred twelve".