11085032616 has 192 divisors, whose sum is σ = 33319303680. Its totient is φ = 3009726720.

The previous prime is 11085032591. The next prime is 11085032617. The reversal of 11085032616 is 61623058011.

It is not an unprimeable number, because it can be changed into a prime (11085032617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9465711 + ... + 9466881.

It is an arithmetic number, because the mean of its divisors is an integer number (173538040).

Almost surely, 2^11085032616 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 11085032616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659651840).

11085032616 is an abundant number, since it is smaller than the sum of its proper divisors (22234271064).

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

11085032616 is a wasteful number, since it uses less digits than its factorization.

11085032616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11085032616 in words is "eleven billion, eighty-five million, thirty-two thousand, six hundred sixteen".