11505780224 has 40 divisors (see below), whose sum is σ = 23044384440. Its totient is φ = 5739053056.

The previous prime is 11505780203. The next prime is 11505780233. The reversal of 11505780224 is 42208750511.

It is a Cunningham number, because it is equal to 107265²-1.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 187712 + ... + 241344.

It is an arithmetic number, because the mean of its divisors is an integer number (576109611).

Almost surely, 2^11505780224 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 11505780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522192220).

11505780224 is an abundant number, since it is smaller than the sum of its proper divisors (11538604216).

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

11505780224 is an frugal number, since it uses more digits than its factorization.

11505780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54070 (or 54054 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 11505780224 in words is "eleven billion, five hundred five million, seven hundred eighty thousand, two hundred twenty-four".