11135068560 has 1080 divisors, whose sum is σ = 51094854720. Its totient is φ = 2121292800.

The previous prime is 11135068559. The next prime is 11135068577. The reversal of 11135068560 is 6586053111.

11135068560 is a `hidden beast` number, since 1 + 1 + 1 + 35 + 0 + 68 + 560 = 666.

11135068560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 359195745 + ... + 359195775.

Almost surely, 2^11135068560 is an apocalyptic number.

11135068560 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 11135068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25547427360).

11135068560 is an abundant number, since it is smaller than the sum of its proper divisors (39959786160).

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

11135068560 is a wasteful number, since it uses less digits than its factorization.

11135068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11135068560 in words is "eleven billion, one hundred thirty-five million, sixty-eight thousand, five hundred sixty".