11004255360 has 576 divisors, whose sum is σ = 44696171520. Its totient is φ = 2487324672.

The previous prime is 11004255341. The next prime is 11004255389. The reversal of 11004255360 is 6355240011.

11004255360 is a `hidden beast` number, since 1 + 10 + 0 + 42 + 553 + 60 = 666.

11004255360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35844327 + ... + 35844633.

It is an arithmetic number, because the mean of its divisors is an integer number (77597520).

Almost surely, 2^11004255360 is an apocalyptic number.

11004255360 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 11004255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348085760).

11004255360 is an abundant number, since it is smaller than the sum of its proper divisors (33691916160).

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

11004255360 is a wasteful number, since it uses less digits than its factorization.

11004255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11004255360 its reverse (6355240011), we get a palindrome (17359495371).

The spelling of 11004255360 in words is "eleven billion, four million, two hundred fifty-five thousand, three hundred sixty".