11085534306 has 384 divisors, whose sum is σ = 32887296000. Its totient is φ = 2689394400.

The previous prime is 11085534293. The next prime is 11085534307. The reversal of 11085534306 is 60343558011.

11085534306 is a `hidden beast` number, since 1 + 10 + 85 + 534 + 30 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085534307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156134251 + ... + 156134321.

It is an arithmetic number, because the mean of its divisors is an integer number (85644000).

Almost surely, 2^11085534306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085534306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443648000).

11085534306 is an abundant number, since it is smaller than the sum of its proper divisors (21801761694).

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

11085534306 is a wasteful number, since it uses less digits than its factorization.

11085534306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 110855 and 34306, that added together give a square (145161 = 381²).

The spelling of 11085534306 in words is "eleven billion, eighty-five million, five hundred thirty-four thousand, three hundred six".