11505506000 has 80 divisors (see below), whose sum is σ = 28412467200. Its totient is φ = 4504246400.

The previous prime is 11505505933. The next prime is 11505506021. The reversal of 11505506000 is 60550511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32801 + ... + 155199.

It is an arithmetic number, because the mean of its divisors is an integer number (355155840).

Almost surely, 2^11505506000 is an apocalyptic number.

11505506000 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 11505506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206233600).

11505506000 is an abundant number, since it is smaller than the sum of its proper divisors (16906961200).

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

11505506000 is a wasteful number, since it uses less digits than its factorization.

11505506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122469 (or 122453 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 11505506000 in words is "eleven billion, five hundred five million, five hundred six thousand".