11505615220 has 96 divisors (see below), whose sum is σ = 27660165120. Its totient is φ = 3979282560.

The previous prime is 11505615217. The next prime is 11505615347. The reversal of 11505615220 is 2251650511.

11505615220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 899389 + ... + 912091.

It is an arithmetic number, because the mean of its divisors is an integer number (288126720).

Almost surely, 2^11505615220 is an apocalyptic number.

11505615220 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 11505615220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830082560).

11505615220 is an abundant number, since it is smaller than the sum of its proper divisors (16154549900).

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

11505615220 is a wasteful number, since it uses less digits than its factorization.

11505615220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 11505615220 in words is "eleven billion, five hundred five million, six hundred fifteen thousand, two hundred twenty".