11001055939968 has 256 divisors, whose sum is σ = 29773524844800. Its totient is φ = 3598442496000.

The previous prime is 11001055939891. The next prime is 11001055939969. The reversal of 11001055939968 is 86993955010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001055939969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7581705643 + ... + 7581707093.

It is an arithmetic number, because the mean of its divisors is an integer number (116302831425).

Almost surely, 2^{11001055939968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001055939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886762422400).

11001055939968 is an abundant number, since it is smaller than the sum of its proper divisors (18772468904832).

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

11001055939968 is a wasteful number, since it uses less digits than its factorization.

11001055939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 57.

The spelling of 11001055939968 in words is "eleven trillion, one billion, fifty-five million, nine hundred thirty-nine thousand, nine hundred sixty-eight".