11101115256 has 512 divisors, whose sum is σ = 38054707200. Its totient is φ = 2612736000.

The previous prime is 11101115189. The next prime is 11101115261. The reversal of 11101115256 is 65251110111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152070036 + ... + 152070108.

It is an arithmetic number, because the mean of its divisors is an integer number (74325600).

Almost surely, 2^11101115256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101115256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027353600).

11101115256 is an abundant number, since it is smaller than the sum of its proper divisors (26953591944).

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

11101115256 is a wasteful number, since it uses less digits than its factorization.

11101115256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 24.

Adding to 11101115256 its reverse (65251110111), we get a palindrome (76352225367).

The spelling of 11101115256 in words is "eleven billion, one hundred one million, one hundred fifteen thousand, two hundred fifty-six".