11826802240 has 112 divisors (see below), whose sum is σ = 30772120320. Its totient is φ = 4293754880.

The previous prime is 11826802237. The next prime is 11826802241. The reversal of 11826802240 is 4220862811.

It is a junction number, because it is equal to n+sod(n) for n = 11826802196 and 11826802205.

It is not an unprimeable number, because it can be changed into a prime (11826802241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2528544 + ... + 2533216.

Almost surely, 2^11826802240 is an apocalyptic number.

11826802240 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 11826802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386060160).

11826802240 is an abundant number, since it is smaller than the sum of its proper divisors (18945318080).

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

11826802240 is a wasteful number, since it uses less digits than its factorization.

11826802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 11826802240 in words is "eleven billion, eight hundred twenty-six million, eight hundred two thousand, two hundred forty".