11543112240 has 160 divisors (see below), whose sum is σ = 39424119552. Its totient is φ = 2770560000.

The previous prime is 11543112233. The next prime is 11543112241. The reversal of 11543112240 is 4221134511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11543112240.

It is not an unprimeable number, because it can be changed into a prime (11543112241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244995 + ... + 288285.

Almost surely, 2^11543112240 is an apocalyptic number.

11543112240 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 11543112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712059776).

11543112240 is an abundant number, since it is smaller than the sum of its proper divisors (27881007312).

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

11543112240 is a wasteful number, since it uses less digits than its factorization.

11543112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43419 (or 43413 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11543112240 its reverse (4221134511), we get a palindrome (15764246751).

The spelling of 11543112240 in words is "eleven billion, five hundred forty-three million, one hundred twelve thousand, two hundred forty".