11909301820 has 96 divisors (see below), whose sum is σ = 28176724800. Its totient is φ = 4197709824.

The previous prime is 11909301799. The next prime is 11909301829. The reversal of 11909301820 is 2810390911.

11909301820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11909301829) 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 31 ways as a sum of consecutive naturals, for example, 662187 + ... + 679933.

It is an arithmetic number, because the mean of its divisors is an integer number (293507550).

Almost surely, 2^11909301820 is an apocalyptic number.

11909301820 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 11909301820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088362400).

11909301820 is an abundant number, since it is smaller than the sum of its proper divisors (16267422980).

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

11909301820 is a wasteful number, since it uses less digits than its factorization.

11909301820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17887 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 11909301820 in words is "eleven billion, nine hundred nine million, three hundred one thousand, eight hundred twenty".