11826138280 has 96 divisors (see below), whose sum is σ = 29356616520. Its totient is φ = 4284403200.

The previous prime is 11826138271. The next prime is 11826138293. The reversal of 11826138280 is 8283162811.

It can be written as a sum of positive squares in 4 ways, for example, as 8331673284 + 3494464996 = 91278^2 + 59114^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336270 + ... + 1345090.

Almost surely, 2^11826138280 is an apocalyptic number.

11826138280 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 11826138280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678308260).

11826138280 is an abundant number, since it is smaller than the sum of its proper divisors (17530478240).

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

11826138280 is a wasteful number, since it uses less digits than its factorization.

11826138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 11826138280 in words is "eleven billion, eight hundred twenty-six million, one hundred thirty-eight thousand, two hundred eighty".