6130111680 has 756 divisors, whose sum is σ = 27035058960. Its totient is φ = 1270241280.

The previous prime is 6130111667. The next prime is 6130111681. The reversal of 6130111680 is 861110316.

It is not an unprimeable number, because it can be changed into a prime (6130111681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075341 + ... + 17075699.

It is an arithmetic number, because the mean of its divisors is an integer number (35760660).

Almost surely, 2^6130111680 is an apocalyptic number.

6130111680 is a gapful number since it is divisible by the number (60) 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 6130111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517529480).

6130111680 is an abundant number, since it is smaller than the sum of its proper divisors (20904947280).

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

6130111680 is a wasteful number, since it uses less digits than its factorization.

6130111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6130111680 is about 78295.0297273077. The cubic root of 6130111680 is about 1830.1616985131.

Adding to 6130111680 its reverse (861110316), we get a palindrome (6991221996).

The spelling of 6130111680 in words is "six billion, one hundred thirty million, one hundred eleven thousand, six hundred eighty".