11011000011000 has 256 divisors, whose sum is σ = 39681997355520. Its totient is φ = 2512313600000.

The previous prime is 11011000010993. The next prime is 11011000011001. The reversal of 11011000011000 is 11000011011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11011000011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9252726 + ... + 10374725.

It is an arithmetic number, because the mean of its divisors is an integer number (155007802170).

Almost surely, 2^{11011000011000} is an apocalyptic number.

11011000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011000011000 is an abundant number, since it is smaller than the sum of its proper divisors (28670997344520).

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

11011000011000 is a wasteful number, since it uses less digits than its factorization.

11011000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627503 (or 19627489 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11011000011000 its reverse (11000011011), we get a palindrome (11022000022011).

The spelling of 11011000011000 in words is "eleven trillion, eleven billion, eleven thousand".