11006635201156 has 108 divisors (see below), whose sum is σ = 23559648736512. Its totient is φ = 4407094736352.

The previous prime is 11006635201147. The next prime is 11006635201181. The reversal of 11006635201156 is 65110253660011.

It is a super-2 number, since 2×11006635201156² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 27186445 + ... + 27588331.

Almost surely, 2^{11006635201156} 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 11006635201156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779824368256).

11006635201156 is an abundant number, since it is smaller than the sum of its proper divisors (12553013535356).

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

11006635201156 is a wasteful number, since it uses less digits than its factorization.

11006635201156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402030 (or 401962 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Adding to 11006635201156 its reverse (65110253660011), we get a palindrome (76116888861167).

The spelling of 11006635201156 in words is "eleven trillion, six billion, six hundred thirty-five million, two hundred one thousand, one hundred fifty-six".