500830848000 has 1056 divisors, whose sum is σ = 2080307473920. Its totient is φ = 113496883200.

The previous prime is 500830847981. The next prime is 500830848029. The reversal of 500830848000 is 848038005.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395071821 + ... + 1395072179.

Almost surely, 2^500830848000 is an apocalyptic number.

500830848000 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 500830848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040153736960).

500830848000 is an abundant number, since it is smaller than the sum of its proper divisors (1579476625920).

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

500830848000 is a wasteful number, since it uses less digits than its factorization.

500830848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 500830848000 in words is "five hundred billion, eight hundred thirty million, eight hundred forty-eight thousand".