11805832240 has 160 divisors (see below), whose sum is σ = 29867802624. Its totient is φ = 4322734080.

The previous prime is 11805832231. The next prime is 11805832249. The reversal of 11805832240 is 4223850811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11805832231) and next prime (11805832249).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11805832196 and 11805832205.

It is not an unprimeable number, because it can be changed into a prime (11805832249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12208237 + ... + 12209203.

Almost surely, 2^11805832240 is an apocalyptic number.

11805832240 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 11805832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933901312).

11805832240 is an abundant number, since it is smaller than the sum of its proper divisors (18061970384).

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

11805832240 is a wasteful number, since it uses less digits than its factorization.

11805832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 11805832240 in words is "eleven billion, eight hundred five million, eight hundred thirty-two thousand, two hundred forty".