48785258784 has 96 divisors (see below), whose sum is σ = 134515067904. Its totient is φ = 15451603200.

The previous prime is 48785258783. The next prime is 48785258813.

It is a happy number.

48785258784 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48785258783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260247 + ... + 406569.

It is an arithmetic number, because the mean of its divisors is an integer number (1401198624).

Almost surely, 2^48785258784 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 48785258784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67257533952).

48785258784 is an abundant number, since it is smaller than the sum of its proper divisors (85729809120).

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

48785258784 is a wasteful number, since it uses less digits than its factorization.

48785258784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146510 (or 146502 counting only the distinct ones).

The product of its digits is 160563200, while the sum is 66.

The spelling of 48785258784 in words is "forty-eight billion, seven hundred eighty-five million, two hundred fifty-eight thousand, seven hundred eighty-four".