11205134352 has 120 divisors (see below), whose sum is σ = 32558582784. Its totient is φ = 3730644864.

The previous prime is 11205134293. The next prime is 11205134383. The reversal of 11205134352 is 25343150211.

11205134352 is a `hidden beast` number, since 11 + 205 + 13 + 435 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 6464878 + ... + 6466610.

Almost surely, 2^11205134352 is an apocalyptic number.

11205134352 is a gapful number since it is divisible by the number (12) 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 11205134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279291392).

11205134352 is an abundant number, since it is smaller than the sum of its proper divisors (21353448432).

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

11205134352 is a wasteful number, since it uses less digits than its factorization.

11205134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11205134352 its reverse (25343150211), we get a palindrome (36548284563).

The spelling of 11205134352 in words is "eleven billion, two hundred five million, one hundred thirty-four thousand, three hundred fifty-two".