5086579680 has 960 divisors, whose sum is σ = 23359311360. Its totient is φ = 1012248576.

The previous prime is 5086579669. The next prime is 5086579681. The reversal of 5086579680 is 869756805.

5086579680 is a `hidden beast` number, since 5 + 0 + 8 + 6 + 579 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086579681) 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 159 ways as a sum of consecutive naturals, for example, 22407727 + ... + 22407953.

It is an arithmetic number, because the mean of its divisors is an integer number (24332616).

Almost surely, 2^5086579680 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 5086579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679655680).

5086579680 is an abundant number, since it is smaller than the sum of its proper divisors (18272731680).

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

5086579680 is a wasteful number, since it uses less digits than its factorization.

5086579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5086579680 is about 71320.2613567842. The cubic root of 5086579680 is about 1719.7894640448.

The spelling of 5086579680 in words is "five billion, eighty-six million, five hundred seventy-nine thousand, six hundred eighty".