11085025824 has 192 divisors, whose sum is σ = 32889991680. Its totient is φ = 3631668480.

The previous prime is 11085025813. The next prime is 11085025829. The reversal of 11085025824 is 42852058011.

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

It is not an unprimeable number, because it can be changed into a prime (11085025829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23736439 + ... + 23736905.

It is an arithmetic number, because the mean of its divisors is an integer number (171302040).

Almost surely, 2^11085025824 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 11085025824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444995840).

11085025824 is an abundant number, since it is smaller than the sum of its proper divisors (21804965856).

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

11085025824 is a wasteful number, since it uses less digits than its factorization.

11085025824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 11085025824 in words is "eleven billion, eighty-five million, twenty-five thousand, eight hundred twenty-four".