11032025760 has 288 divisors, whose sum is σ = 43305155712. Its totient is φ = 2505185280.

The previous prime is 11032025729. The next prime is 11032025779. The reversal of 11032025760 is 6752023011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1579075 + ... + 1586045.

It is an arithmetic number, because the mean of its divisors is an integer number (150365124).

Almost surely, 2^11032025760 is an apocalyptic number.

11032025760 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 11032025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21652577856).

11032025760 is an abundant number, since it is smaller than the sum of its proper divisors (32273129952).

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

11032025760 is a wasteful number, since it uses less digits than its factorization.

11032025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 11032025760 its reverse (6752023011), we get a palindrome (17784048771).

The spelling of 11032025760 in words is "eleven billion, thirty-two million, twenty-five thousand, seven hundred sixty".