48975257984 has 64 divisors (see below), whose sum is σ = 100128536640. Its totient is φ = 23848290816.

The previous prime is 48975257921. The next prime is 48975257987.

48975257984 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48975257987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1897067 + ... + 1922709.

It is an arithmetic number, because the mean of its divisors is an integer number (1564508385).

Almost surely, 2^48975257984 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 48975257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50064268320).

48975257984 is an abundant number, since it is smaller than the sum of its proper divisors (51153278656).

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

48975257984 is a wasteful number, since it uses less digits than its factorization.

48975257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26047 (or 26035 counting only the distinct ones).

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

The spelling of 48975257984 in words is "forty-eight billion, nine hundred seventy-five million, two hundred fifty-seven thousand, nine hundred eighty-four".