11011000968 has 192 divisors, whose sum is σ = 33195614400. Its totient is φ = 3296620800.

The previous prime is 11011000919. The next prime is 11011000969. The reversal of 11011000968 is 86900011011.

It is not an unprimeable number, because it can be changed into a prime (11011000969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8528403 + ... + 8529693.

It is an arithmetic number, because the mean of its divisors is an integer number (172893825).

Almost surely, 2^11011000968 is an apocalyptic number.

11011000968 is a gapful number since it is divisible by the number (18) 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 11011000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597807200).

11011000968 is an abundant number, since it is smaller than the sum of its proper divisors (22184613432).

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

11011000968 is a wasteful number, since it uses less digits than its factorization.

11011000968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 11011000968 its reverse (86900011011), we get a palindrome (97911011979).

The spelling of 11011000968 in words is "eleven billion, eleven million, nine hundred sixty-eight", and thus it is an aban number.