11011010000000 has 512 divisors, whose sum is σ = 29057972486400. Its totient is φ = 4148928000000.

The previous prime is 11011009999999. The next prime is 11011010000021. The reversal of 11011010000000 is 1011011.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12469999559 + ... + 12470000441.

Almost surely, 2^{11011010000000} is an apocalyptic number.

11011010000000 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 11011010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528986243200).

11011010000000 is an abundant number, since it is smaller than the sum of its proper divisors (18046962486400).

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

11011010000000 is an frugal number, since it uses more digits than its factorization.

11011010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11011010000000 its reverse (1011011), we get a palindrome (11011011011011).

The spelling of 11011010000000 in words is "eleven trillion, eleven billion, ten million", and thus it is an aban number and an uban number.