11006026560 has 336 divisors, whose sum is σ = 38634113232. Its totient is φ = 2875392000.

The previous prime is 11006026541. The next prime is 11006026571. The reversal of 11006026560 is 6562060011.

It is a happy number.

11006026560 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 0 + 2 + 656 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 660695616 + 10345330944 = 25704^2 + 101712^2 .

It is a super-2 number, since 2×11006026560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 45668040 + ... + 45668280.

Almost surely, 2^11006026560 is an apocalyptic number.

11006026560 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 11006026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317056616).

11006026560 is an abundant number, since it is smaller than the sum of its proper divisors (27628086672).

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

11006026560 is a wasteful number, since it uses less digits than its factorization.

11006026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11006026560 its reverse (6562060011), we get a palindrome (17568086571).

The spelling of 11006026560 in words is "eleven billion, six million, twenty-six thousand, five hundred sixty".