11011111111000 has 256 divisors, whose sum is σ = 34594912235520. Its totient is φ = 3168031680000.

The previous prime is 11011111110997. The next prime is 11011111111067. The reversal of 11011111111000 is 11111111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4499056 + ... + 6501055.

It is an arithmetic number, because the mean of its divisors is an integer number (135136375920).

Almost surely, 2^{11011111111000} is an apocalyptic number.

11011111111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011111111000 is an abundant number, since it is smaller than the sum of its proper divisors (23583801124520).

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

11011111111000 is a wasteful number, since it uses less digits than its factorization.

11011111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000163 (or 11000149 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111111000 its reverse (11111111011), we get a palindrome (11022222222011).

It can be divided in two parts, 11011111 and 111000, that added together give a palindrome (11122111).

The spelling of 11011111111000 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred eleven thousand".