11506226256 has 600 divisors, whose sum is σ = 40948316640. Its totient is φ = 3106543104.

The previous prime is 11506226213. The next prime is 11506226257. The reversal of 11506226256 is 65262260511.

11506226256 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 6 + 22 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11506226256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506226257) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138629191 + ... + 138629273.

Almost surely, 2^11506226256 is an apocalyptic number.

11506226256 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 11506226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474158320).

11506226256 is an abundant number, since it is smaller than the sum of its proper divisors (29442090384).

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

11506226256 is a wasteful number, since it uses less digits than its factorization.

11506226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11506226256 its reverse (65262260511), we get a palindrome (76768486767).

The spelling of 11506226256 in words is "eleven billion, five hundred six million, two hundred twenty-six thousand, two hundred fifty-six".