11132359200 has 288 divisors, whose sum is σ = 40422412800. Its totient is φ = 2956815360.

The previous prime is 11132359193. The next prime is 11132359213. The reversal of 11132359200 is 295323111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 6327921 + ... + 6329679.

It is an arithmetic number, because the mean of its divisors is an integer number (140355600).

Almost surely, 2^11132359200 is an apocalyptic number.

11132359200 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 11132359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211206400).

11132359200 is an abundant number, since it is smaller than the sum of its proper divisors (29290053600).

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

11132359200 is a wasteful number, since it uses less digits than its factorization.

11132359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11132359200 in words is "eleven billion, one hundred thirty-two million, three hundred fifty-nine thousand, two hundred".