11151360256 has 144 divisors (see below), whose sum is σ = 24586254000. Its totient is φ = 5024251904.

The previous prime is 11151360251. The next prime is 11151360257. The reversal of 11151360256 is 65206315111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 256 + 11151360000 = 16^2 + 105600^2 .

It is not an unprimeable number, because it can be changed into a prime (11151360251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18804696 + ... + 18805288.

It is an arithmetic number, because the mean of its divisors is an integer number (170737875).

Almost surely, 2^11151360256 is an apocalyptic number.

11151360256 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 11151360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293127000).

11151360256 is an abundant number, since it is smaller than the sum of its proper divisors (13434893744).

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

11151360256 is a wasteful number, since it uses less digits than its factorization.

11151360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 11151360256 its reverse (65206315111), we get a palindrome (76357675367).

The spelling of 11151360256 in words is "eleven billion, one hundred fifty-one million, three hundred sixty thousand, two hundred fifty-six".