11205841725264 has 80 divisors (see below), whose sum is σ = 29355662760192. Its totient is φ = 3682770960384.

The previous prime is 11205841725187. The next prime is 11205841725269. The reversal of 11205841725264 is 46252714850211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205841725269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9065689 + ... + 10227335.

Almost surely, 2^{11205841725264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205841725264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677831380096).

11205841725264 is an abundant number, since it is smaller than the sum of its proper divisors (18149821034928).

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

11205841725264 is a wasteful number, since it uses less digits than its factorization.

11205841725264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164484 (or 1164478 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 11205841725264 in words is "eleven trillion, two hundred five billion, eight hundred forty-one million, seven hundred twenty-five thousand, two hundred sixty-four".