5086466560 has 480 divisors, whose sum is σ = 15517256832. Its totient is φ = 1589575680.

The previous prime is 5086466549. The next prime is 5086466563. The reversal of 5086466560 is 656646805.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 5086466560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086466563) 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 47 ways as a sum of consecutive naturals, for example, 118289899 + ... + 118289941.

Almost surely, 2^5086466560 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 5086466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758628416).

5086466560 is an abundant number, since it is smaller than the sum of its proper divisors (10430790272).

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

5086466560 is a wasteful number, since it uses less digits than its factorization.

5086466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The square root of 5086466560 is about 71319.4683098521. The cubic root of 5086466560 is about 1719.7767152012.

The spelling of 5086466560 in words is "five billion, eighty-six million, four hundred sixty-six thousand, five hundred sixty".