11000000011000 has 768 divisors, whose sum is σ = 36655242624000. Its totient is φ = 2998207872000.

The previous prime is 11000000010973. The next prime is 11000000011031. The reversal of 11000000011000 is 11000000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209182711 + ... + 209235289.

It is an arithmetic number, because the mean of its divisors is an integer number (47728180500).

Almost surely, 2^{11000000011000} is an apocalyptic number.

11000000011000 is a gapful number since it is divisible by the number (10) 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 11000000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327621312000).

11000000011000 is an abundant number, since it is smaller than the sum of its proper divisors (25655242613000).

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

11000000011000 is a wasteful number, since it uses less digits than its factorization.

11000000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52661 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000000011000 its reverse (11000000011), we get a palindrome (11011000011011).

11000000011000 divided by its reverse (11000000011) gives a cube (1000 = 10³).

It can be divided in two parts, 110000000 and 11000, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 11000000011000 in words is "eleven trillion, eleven thousand".