11132259328300 has 144 divisors (see below), whose sum is σ = 27743923025280. Its totient is φ = 3834508032000.

The previous prime is 11132259328283. The next prime is 11132259328321. The reversal of 11132259328300 is 382395223111.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170532267 + ... + 170597533.

It is an arithmetic number, because the mean of its divisors is an integer number (192666132120).

Almost surely, 2^{11132259328300} is an apocalyptic number.

11132259328300 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 11132259328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871961512640).

11132259328300 is an abundant number, since it is smaller than the sum of its proper divisors (16611663696980).

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

11132259328300 is a wasteful number, since it uses less digits than its factorization.

11132259328300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73472 (or 73465 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 11132259328300 in words is "eleven trillion, one hundred thirty-two billion, two hundred fifty-nine million, three hundred twenty-eight thousand, three hundred".