500895752448 has 288 divisors, whose sum is σ = 1650502201600. Its totient is φ = 132101259264.

The previous prime is 500895752431. The next prime is 500895752449. The reversal of 500895752448 is 844257598005.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (500895752449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11789868 + ... + 11832276.

Almost surely, 2^500895752448 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 500895752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825251100800).

500895752448 is an abundant number, since it is smaller than the sum of its proper divisors (1149606449152).

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

500895752448 is an equidigital number, since it uses as much as digits as its factorization.

500895752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42474 (or 42434 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 500895752448 in words is "five hundred billion, eight hundred ninety-five million, seven hundred fifty-two thousand, four hundred forty-eight".