48578487584 has 72 divisors (see below), whose sum is σ = 105183262800. Its totient is φ = 22068632960.

The previous prime is 48578487571. The next prime is 48578487593.

48578487584 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12771827 + ... + 12775629.

It is an arithmetic number, because the mean of its divisors is an integer number (1460878650).

Almost surely, 2^48578487584 is an apocalyptic number.

48578487584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48578487584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52591631400).

48578487584 is an abundant number, since it is smaller than the sum of its proper divisors (56604775216).

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

48578487584 is a wasteful number, since it uses less digits than its factorization.

48578487584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7115 counting only the distinct ones).

The product of its digits is 321126400, while the sum is 68.

The spelling of 48578487584 in words is "forty-eight billion, five hundred seventy-eight million, four hundred eighty-seven thousand, five hundred eighty-four".