11305230660 has 288 divisors, whose sum is σ = 38557209600. Its totient is φ = 2667893760.

The previous prime is 11305230659. The next prime is 11305230719. The reversal of 11305230660 is 6603250311.

11305230660 is a `hidden beast` number, since 1 + 130 + 523 + 0 + 6 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3072742 + ... + 3076418.

It is an arithmetic number, because the mean of its divisors is an integer number (133879200).

Almost surely, 2^11305230660 is an apocalyptic number.

11305230660 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 11305230660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278604800).

11305230660 is an abundant number, since it is smaller than the sum of its proper divisors (27251978940).

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

11305230660 is a wasteful number, since it uses less digits than its factorization.

11305230660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 11305230660 its reverse (6603250311), we get a palindrome (17908480971).

The spelling of 11305230660 in words is "eleven billion, three hundred five million, two hundred thirty thousand, six hundred sixty".