11260568664 has 192 divisors, whose sum is σ = 33038928000. Its totient is φ = 3451714560.

The previous prime is 11260568653. The next prime is 11260568699. The reversal of 11260568664 is 46686506211.

11260568664 is a `hidden beast` number, since 1 + 1 + 26 + 0 + 568 + 6 + 64 = 666.

11260568664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 15237207 + ... + 15237945.

It is an arithmetic number, because the mean of its divisors is an integer number (172077750).

Almost surely, 2^11260568664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11260568664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519464000).

11260568664 is an abundant number, since it is smaller than the sum of its proper divisors (21778359336).

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

11260568664 is a wasteful number, since it uses less digits than its factorization.

11260568664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11260568664 in words is "eleven billion, two hundred sixty million, five hundred sixty-eight thousand, six hundred sixty-four".