11205023032240 has 80 divisors (see below), whose sum is σ = 26967716143200. Its totient is φ = 4324614404096.

The previous prime is 11205023032207. The next prime is 11205023032241. The reversal of 11205023032240 is 4223032050211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11205023032241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947756 + ... + 5118964.

It is an arithmetic number, because the mean of its divisors is an integer number (337096451790).

Almost surely, 2^{11205023032240} is an apocalyptic number.

11205023032240 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 11205023032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483858071600).

11205023032240 is an abundant number, since it is smaller than the sum of its proper divisors (15762693110960).

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

11205023032240 is a wasteful number, since it uses less digits than its factorization.

11205023032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172774 (or 3172768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11205023032240 its reverse (4223032050211), we get a palindrome (15428055082451).

The spelling of 11205023032240 in words is "eleven trillion, two hundred five billion, twenty-three million, thirty-two thousand, two hundred forty".