48597279584 has 144 divisors (see below), whose sum is σ = 114807430080. Its totient is φ = 20179353600.

The previous prime is 48597279529. The next prime is 48597279587.

48597279584 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48597279587) 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 23 ways as a sum of consecutive naturals, for example, 7440032 + ... + 7446560.

It is an arithmetic number, because the mean of its divisors is an integer number (797273820).

Almost surely, 2^48597279584 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 48597279584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57403715040).

48597279584 is an abundant number, since it is smaller than the sum of its proper divisors (66210150496).

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

48597279584 is a wasteful number, since it uses less digits than its factorization.

48597279584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6686 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 68.

The spelling of 48597279584 in words is "forty-eight billion, five hundred ninety-seven million, two hundred seventy-nine thousand, five hundred eighty-four".