48530003584 has 64 divisors (see below), whose sum is σ = 99407306880. Its totient is φ = 23585126400.

The previous prime is 48530003551. The next prime is 48530003593.

48530003584 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×48530003584² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405147 + ... + 1439269.

It is an arithmetic number, because the mean of its divisors is an integer number (1553239170).

Almost surely, 2^48530003584 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 48530003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49703653440).

48530003584 is an abundant number, since it is smaller than the sum of its proper divisors (50877303296).

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

48530003584 is a wasteful number, since it uses less digits than its factorization.

48530003584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34449 (or 34437 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 4853000 and 3584, that added together give a palindrome (4856584).

The spelling of 48530003584 in words is "forty-eight billion, five hundred thirty million, three thousand, five hundred eighty-four".