11130459331200 has 2304 divisors, whose sum is σ = 44183572070400. Its totient is φ = 2453299200000.

The previous prime is 11130459331151. The next prime is 11130459331217. The reversal of 11130459331200 is 213395403111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 73711651125 + ... + 73711651275.

It is an arithmetic number, because the mean of its divisors is an integer number (19176897600).

Almost surely, 2^{11130459331200} is an apocalyptic number.

11130459331200 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 11130459331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22091786035200).

11130459331200 is an abundant number, since it is smaller than the sum of its proper divisors (33053112739200).

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

11130459331200 is a wasteful number, since it uses less digits than its factorization.

11130459331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11130459331200 in words is "eleven trillion, one hundred thirty billion, four hundred fifty-nine million, three hundred thirty-one thousand, two hundred".