11034226560 has 512 divisors, whose sum is σ = 41938744320. Its totient is φ = 2415329280.

The previous prime is 11034226531. The next prime is 11034226579. The reversal of 11034226560 is 6562243011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35252964 + ... + 35253276.

It is an arithmetic number, because the mean of its divisors is an integer number (81911610).

Almost surely, 2^11034226560 is an apocalyptic number.

11034226560 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 11034226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969372160).

11034226560 is an abundant number, since it is smaller than the sum of its proper divisors (30904517760).

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

11034226560 is a wasteful number, since it uses less digits than its factorization.

11034226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11034226560 its reverse (6562243011), we get a palindrome (17596469571).

The spelling of 11034226560 in words is "eleven billion, thirty-four million, two hundred twenty-six thousand, five hundred sixty".