11505645606 has 96 divisors (see below), whose sum is σ = 28995630048. Its totient is φ = 3016742400.

The previous prime is 11505645539. The next prime is 11505645653. The reversal of 11505645606 is 60654650511.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 652506 + ... + 669906.

It is an arithmetic number, because the mean of its divisors is an integer number (302037813).

Almost surely, 2^11505645606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11505645606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497815024).

11505645606 is an abundant number, since it is smaller than the sum of its proper divisors (17489984442).

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

11505645606 is a wasteful number, since it uses less digits than its factorization.

11505645606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17606 (or 17599 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 11505645606 in words is "eleven billion, five hundred five million, six hundred forty-five thousand, six hundred six".