11506422256 has 120 divisors (see below), whose sum is σ = 27518551200. Its totient is φ = 4631187456.

The previous prime is 11506422223. The next prime is 11506422259. The reversal of 11506422256 is 65222460511.

11506422256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506422259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10968420 + ... + 10969468.

It is an arithmetic number, because the mean of its divisors is an integer number (229321260).

Almost surely, 2^11506422256 is an apocalyptic number.

11506422256 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 11506422256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759275600).

11506422256 is an abundant number, since it is smaller than the sum of its proper divisors (16012128944).

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

11506422256 is a wasteful number, since it uses less digits than its factorization.

11506422256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 11506422256 its reverse (65222460511), we get a palindrome (76728882767).

The spelling of 11506422256 in words is "eleven billion, five hundred six million, four hundred twenty-two thousand, two hundred fifty-six".