11011000001008 has 160 divisors (see below), whose sum is σ = 24687470472192. Its totient is φ = 4660201728000.

The previous prime is 11011000000967. The next prime is 11011000001009. The reversal of 11011000001008 is 80010000011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5755879860 + ... + 5755881772.

Almost surely, 2^{11011000001008} 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 11011000001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343735236096).

11011000001008 is an abundant number, since it is smaller than the sum of its proper divisors (13676470471184).

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

11011000001008 is a wasteful number, since it uses less digits than its factorization.

11011000001008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11011000001008 its reverse (80010000011011), we get a palindrome (91021000012019).

The spelling of 11011000001008 in words is "eleven trillion, eleven billion, one thousand, eight".