6056116506 has 144 divisors (see below), whose sum is σ = 15220370880. Its totient is φ = 1725649920.

The previous prime is 6056116501. The next prime is 6056116513.

6056116506 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6056116501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13795035 + ... + 13795473.

It is an arithmetic number, because the mean of its divisors is an integer number (105697020).

Almost surely, 2^6056116506 is an apocalyptic number.

6056116506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056116506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610185440).

6056116506 is an abundant number, since it is smaller than the sum of its proper divisors (9164254374).

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

6056116506 is a wasteful number, since it uses less digits than its factorization.

6056116506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6056116506 is about 77821.0543876142. The cubic root of 6056116506 is about 1822.7680483206.

The spelling of 6056116506 in words is "six billion, fifty-six million, one hundred sixteen thousand, five hundred six".