11011011011000 has 768 divisors, whose sum is σ = 35205345826560. Its totient is φ = 3136320000000.

The previous prime is 11011011010999. The next prime is 11011011011113. The reversal of 11011011011000 is 11011011011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1112106050 + ... + 1112115950.

It is an arithmetic number, because the mean of its divisors is an integer number (45840294045).

Almost surely, 2^{11011011011000} is an apocalyptic number.

11011011011000 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 11011011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602672913280).

11011011011000 is an abundant number, since it is smaller than the sum of its proper divisors (24194334815560).

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

11011011011000 is a wasteful number, since it uses less digits than its factorization.

11011011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11011011011000 its reverse (11011011011), we get a palindrome (11022022022011).

11011011011000 divided by its reverse (11011011011) gives a cube (1000 = 10³).

It can be divided in two parts, 110110 and 11011000, that multiplied together give a square (1212421210000 = 1101100²).

The spelling of 11011011011000 in words is "eleven trillion, eleven billion, eleven million, eleven thousand".