11809774080 has 600 divisors, whose sum is σ = 45938842092. Its totient is φ = 2898395136.

The previous prime is 11809774073. The next prime is 11809774091. The reversal of 11809774080 is 8047790811.

It can be written as a sum of positive squares in 6 ways, for example, as 485409024 + 11324365056 = 22032^2 + 106416^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043672 + ... + 35044008.

Almost surely, 2^11809774080 is an apocalyptic number.

11809774080 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 11809774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969421046).

11809774080 is an abundant number, since it is smaller than the sum of its proper divisors (34129068012).

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

11809774080 is an equidigital number, since it uses as much as digits as its factorization.

11809774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11809774080 in words is "eleven billion, eight hundred nine million, seven hundred seventy-four thousand, eighty".