11006001006 has 192 divisors, whose sum is σ = 30277728768. Its totient is φ = 2594592000.

The previous prime is 11006000989. The next prime is 11006001011. The reversal of 11006001006 is 60010060011.

It is a super-2 number, since 2×11006001006² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4028661 + ... + 4031391.

It is an arithmetic number, because the mean of its divisors is an integer number (157696504).

Almost surely, 2^11006001006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006001006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138864384).

11006001006 is an abundant number, since it is smaller than the sum of its proper divisors (19271727762).

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

11006001006 is a wasteful number, since it uses less digits than its factorization.

11006001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11006001006 its reverse (60010060011), we get a palindrome (71016061017).

The spelling of 11006001006 in words is "eleven billion, six million, one thousand, six".