11085465600 has 720 divisors, whose sum is σ = 44975090160. Its totient is φ = 2687385600.

The previous prime is 11085465551. The next prime is 11085465607. The reversal of 11085465600 is 656458011.

11085465600 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 5 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11085465607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007769595 + ... + 1007769605.

It is an arithmetic number, because the mean of its divisors is an integer number (62465403).

Almost surely, 2^11085465600 is an apocalyptic number.

11085465600 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 11085465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487545080).

11085465600 is an abundant number, since it is smaller than the sum of its proper divisors (33889624560).

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

11085465600 is an frugal number, since it uses more digits than its factorization.

11085465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11085465600 in words is "eleven billion, eighty-five million, four hundred sixty-five thousand, six hundred".