48576588567584 has 96 divisors (see below), whose sum is σ = 119274198091776. Its totient is φ = 18919474801920.

The previous prime is 48576588567569. The next prime is 48576588567649.

48576588567584 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48576588567496 and 48576588567505.

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 15 ways as a sum of consecutive naturals, for example, 3844427 + ... + 10579829.

It is an arithmetic number, because the mean of its divisors is an integer number (1242439563456).

Almost surely, 2^{48576588567584} is an apocalyptic number.

48576588567584 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 48576588567584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59637099045888).

48576588567584 is an abundant number, since it is smaller than the sum of its proper divisors (70697609524192).

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

48576588567584 is a wasteful number, since it uses less digits than its factorization.

48576588567584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738358 (or 6738350 counting only the distinct ones).

The product of its digits is 72253440000, while the sum is 86.

The spelling of 48576588567584 in words is "forty-eight trillion, five hundred seventy-six billion, five hundred eighty-eight million, five hundred sixty-seven thousand, five hundred eighty-four".