6005105011110 has 128 divisors (see below), whose sum is σ = 14966351700480. Its totient is φ = 1540226451456.

The previous prime is 6005105011043. The next prime is 6005105011111. The reversal of 6005105011110 is 111105015006.

It is a happy number.

It is a super-2 number, since 2×6005105011110² (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 (6005105011111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339013614 + ... + 339031326.

It is an arithmetic number, because the mean of its divisors is an integer number (116924622660).

Almost surely, 2^{6005105011110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005105011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483175850240).

6005105011110 is an abundant number, since it is smaller than the sum of its proper divisors (8961246689370).

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

6005105011110 is a wasteful number, since it uses less digits than its factorization.

6005105011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19222.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 6005105011110 in words is "six trillion, five billion, one hundred five million, eleven thousand, one hundred ten".