11135232000 has 576 divisors, whose sum is σ = 41855486400. Its totient is φ = 2952806400.

The previous prime is 11135231977. The next prime is 11135232011. The reversal of 11135232000 is 23253111.

11135232000 is a `hidden beast` number, since 111 + 352 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 62207911 + ... + 62208089.

It is an arithmetic number, because the mean of its divisors is an integer number (72665775).

Almost surely, 2^11135232000 is an apocalyptic number.

11135232000 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 11135232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927743200).

11135232000 is an abundant number, since it is smaller than the sum of its proper divisors (30720254400).

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

11135232000 is an frugal number, since it uses more digits than its factorization.

11135232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11135232000 its reverse (23253111), we get a palindrome (11158485111).

The spelling of 11135232000 in words is "eleven billion, one hundred thirty-five million, two hundred thirty-two thousand".