5086518120 has 320 divisors, whose sum is σ = 18347472000. Its totient is φ = 1259960832.

The previous prime is 5086518119. The next prime is 5086518137. The reversal of 5086518120 is 218156805.

5086518120 is a `hidden beast` number, since 50 + 86 + 518 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3261901 + ... + 3263459.

It is an arithmetic number, because the mean of its divisors is an integer number (57335850).

Almost surely, 2^5086518120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086518120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173736000).

5086518120 is an abundant number, since it is smaller than the sum of its proper divisors (13260953880).

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

5086518120 is a wasteful number, since it uses less digits than its factorization.

5086518120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 5086518120 is about 71319.8297810644. The cubic root of 5086518120 is about 1719.7825261367.

The spelling of 5086518120 in words is "five billion, eighty-six million, five hundred eighteen thousand, one hundred twenty".