11605688220 has 288 divisors, whose sum is σ = 40127270400. Its totient is φ = 2493528576.

The previous prime is 11605688201. The next prime is 11605688233. The reversal of 11605688220 is 2288650611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3988126 + ... + 3991034.

It is an arithmetic number, because the mean of its divisors is an integer number (139330800).

Almost surely, 2^11605688220 is an apocalyptic number.

11605688220 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 11605688220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063635200).

11605688220 is an abundant number, since it is smaller than the sum of its proper divisors (28521582180).

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

11605688220 is a wasteful number, since it uses less digits than its factorization.

11605688220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11605688220 in words is "eleven billion, six hundred five million, six hundred eighty-eight thousand, two hundred twenty".