6011006061116 has 60 divisors (see below), whose sum is σ = 12274950272088. Its totient is φ = 2575471653216.

The previous prime is 6011006061113. The next prime is 6011006061119. The reversal of 6011006061116 is 6111606001106.

It is an interprime number because it is at equal distance from previous prime (6011006061113) and next prime (6011006061119).

It is a super-2 number, since 2×6011006061116² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011006061113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37538975 + ... + 37698761.

Almost surely, 2^{6011006061116} 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 6011006061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137475136044).

6011006061116 is an abundant number, since it is smaller than the sum of its proper divisors (6263944210972).

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

6011006061116 is a wasteful number, since it uses less digits than its factorization.

6011006061116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163736 (or 163713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 6011006061116 in words is "six trillion, eleven billion, six million, sixty-one thousand, one hundred sixteen".