11085564672 has 432 divisors, whose sum is σ = 40429829440. Its totient is φ = 2842656768.

The previous prime is 11085564667. The next prime is 11085564719. The reversal of 11085564672 is 27646558011.

11085564672 is a `hidden beast` number, since 1 + 1 + 0 + 85 + 564 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7756854 + ... + 7758282.

Almost surely, 2^11085564672 is an apocalyptic number.

11085564672 is a gapful number since it is divisible by the number (12) 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 11085564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214914720).

11085564672 is an abundant number, since it is smaller than the sum of its proper divisors (29344264768).

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

11085564672 is a wasteful number, since it uses less digits than its factorization.

11085564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11085564672 in words is "eleven billion, eighty-five million, five hundred sixty-four thousand, six hundred seventy-two".