500271270400 has 480 divisors, whose sum is σ = 1418992857216. Its totient is φ = 173015040000.

The previous prime is 500271270391. The next prime is 500271270403. The reversal of 500271270400 is 4072172005.

It is not an unprimeable number, because it can be changed into a prime (500271270403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 780454080 + ... + 780454720.

Almost surely, 2^500271270400 is an apocalyptic number.

500271270400 is a gapful number since it is divisible by the number (50) 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 500271270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709496428608).

500271270400 is an abundant number, since it is smaller than the sum of its proper divisors (918721586816).

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

500271270400 is a wasteful number, since it uses less digits than its factorization.

500271270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 500271270400 in words is "five hundred billion, two hundred seventy-one million, two hundred seventy thousand, four hundred".