11505768606 has 192 divisors, whose sum is σ = 28531077120. Its totient is φ = 3459386880.

The previous prime is 11505768551. The next prime is 11505768629. The reversal of 11505768606 is 60686750511.

11505768606 is a `hidden beast` number, since 1 + 15 + 0 + 576 + 8 + 60 + 6 = 666.

11505768606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11505768606² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42772240 + ... + 42772508.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 2^11505768606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11505768606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

11505768606 is an abundant number, since it is smaller than the sum of its proper divisors (17025308514).

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

11505768606 is a wasteful number, since it uses less digits than its factorization.

11505768606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11505768606 in words is "eleven billion, five hundred five million, seven hundred sixty-eight thousand, six hundred six".