11038304256 has 192 divisors, whose sum is σ = 35097753600. Its totient is φ = 3016409088.

The previous prime is 11038304243. The next prime is 11038304267. The reversal of 11038304256 is 65240383011.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983605 + ... + 994763.

It is an arithmetic number, because the mean of its divisors is an integer number (182800800).

Almost surely, 2^11038304256 is an apocalyptic number.

11038304256 is a gapful number since it is divisible by the number (16) 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 11038304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

11038304256 is an abundant number, since it is smaller than the sum of its proper divisors (24059449344).

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

11038304256 is a wasteful number, since it uses less digits than its factorization.

11038304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 11038304256 its reverse (65240383011), we get a palindrome (76278687267).

The spelling of 11038304256 in words is "eleven billion, thirty-eight million, three hundred four thousand, two hundred fifty-six".