11505505500 has 144 divisors (see below), whose sum is σ = 36403881696. Its totient is φ = 3059020800.

The previous prime is 11505505373. The next prime is 11505505553. The reversal of 11505505500 is 550550511.

11505505500 is a `hidden beast` number, since 1 + 150 + 5 + 5 + 0 + 5 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1584879 + ... + 1592121.

It is an arithmetic number, because the mean of its divisors is an integer number (252804734).

Almost surely, 2^11505505500 is an apocalyptic number.

11505505500 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 11505505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201940848).

11505505500 is an abundant number, since it is smaller than the sum of its proper divisors (24898376196).

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

11505505500 is a wasteful number, since it uses less digits than its factorization.

11505505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 11505505500 in words is "eleven billion, five hundred five million, five hundred five thousand, five hundred".