11000586112 has 64 divisors (see below), whose sum is σ = 22635676800. Its totient is φ = 5321885184.

The previous prime is 11000586101. The next prime is 11000586169. The reversal of 11000586112 is 21168500011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11000586112³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 579589 + ... + 598267.

It is an arithmetic number, because the mean of its divisors is an integer number (353682450).

Almost surely, 2^11000586112 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 11000586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317838400).

11000586112 is an abundant number, since it is smaller than the sum of its proper divisors (11635090688).

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

11000586112 is a wasteful number, since it uses less digits than its factorization.

11000586112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18843 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

The spelling of 11000586112 in words is "eleven billion, five hundred eighty-six thousand, one hundred twelve".