11002010105856 has 768 divisors, whose sum is σ = 38358448128000. Its totient is φ = 2719147622400.

The previous prime is 11002010105767. The next prime is 11002010105857. The reversal of 11002010105856 is 65850101020011.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002010105857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2165321236 + ... + 2165326316.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896000).

Almost surely, 2^{11002010105856} is an apocalyptic number.

11002010105856 is a gapful number since it is divisible by the number (16) 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 11002010105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179224064000).

11002010105856 is an abundant number, since it is smaller than the sum of its proper divisors (27356438022144).

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

11002010105856 is a wasteful number, since it uses less digits than its factorization.

11002010105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 11002010105856 its reverse (65850101020011), we get a palindrome (76852111125867).

The spelling of 11002010105856 in words is "eleven trillion, two billion, ten million, one hundred five thousand, eight hundred fifty-six".