48506860584 has 256 divisors, whose sum is σ = 170320012800. Its totient is φ = 12447074304.

The previous prime is 48506860579. The next prime is 48506860607.

48506860584 is a `hidden beast` number, since 4 + 8 + 50 + 6 + 8 + 6 + 0 + 584 = 666.

48506860584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48506860584² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48506860584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693924 + ... + 760620.

It is an arithmetic number, because the mean of its divisors is an integer number (665312550).

Almost surely, 2^48506860584 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 48506860584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85160006400).

48506860584 is an abundant number, since it is smaller than the sum of its proper divisors (121813152216).

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

48506860584 is a wasteful number, since it uses less digits than its factorization.

48506860584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66769 (or 66759 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 48506860584 in words is "forty-eight billion, five hundred six million, eight hundred sixty thousand, five hundred eighty-four".