6005011056 has 80 divisors (see below), whose sum is σ = 16936832640. Its totient is φ = 1818236160.

The previous prime is 6005011039. The next prime is 6005011057. The reversal of 6005011056 is 6501105006.

It is a super-3 number, since 3×6005011056³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005011057) 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 15 ways as a sum of consecutive naturals, for example, 779190 + ... + 786858.

It is an arithmetic number, because the mean of its divisors is an integer number (211710408).

Almost surely, 2^6005011056 is an apocalyptic number.

6005011056 is a gapful number since it is divisible by the number (66) 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 6005011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468416320).

6005011056 is an abundant number, since it is smaller than the sum of its proper divisors (10931821584).

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

6005011056 is a wasteful number, since it uses less digits than its factorization.

6005011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6005011056 is about 77492.0064006604. The cubic root of 6005011056 is about 1817.6263239029.

The spelling of 6005011056 in words is "six billion, five million, eleven thousand, fifty-six".