11538309120 has 448 divisors, whose sum is σ = 41219103744. Its totient is φ = 2736783360.

The previous prime is 11538309103. The next prime is 11538309121. The reversal of 11538309120 is 2190383511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538309121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49520524 + ... + 49520756.

It is an arithmetic number, because the mean of its divisors is an integer number (92006928).

Almost surely, 2^11538309120 is an apocalyptic number.

11538309120 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 11538309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

11538309120 is an abundant number, since it is smaller than the sum of its proper divisors (29680794624).

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

11538309120 is a wasteful number, since it uses less digits than its factorization.

11538309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 11538309120 in words is "eleven billion, five hundred thirty-eight million, three hundred nine thousand, one hundred twenty".