6116505120 has 144 divisors (see below), whose sum is σ = 22770139392. Its totient is φ = 1482785280.

The previous prime is 6116505119. The next prime is 6116505163. The reversal of 6116505120 is 215056116.

It is a happy number.

6116505120 is a `hidden beast` number, since 6 + 1 + 1 + 650 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177232 + ... + 208911.

It is an arithmetic number, because the mean of its divisors is an integer number (158125968).

Almost surely, 2^6116505120 is an apocalyptic number.

6116505120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6116505120 is an abundant number, since it is smaller than the sum of its proper divisors (16653634272).

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

6116505120 is a wasteful number, since it uses less digits than its factorization.

6116505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386175 (or 386164 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 6116505120 is about 78208.0885842379. The cubic root of 6116505120 is about 1828.8066034486.

The spelling of 6116505120 in words is "six billion, one hundred sixteen million, five hundred five thousand, one hundred twenty".