500500005000 has 320 divisors, whose sum is σ = 1603690904640. Its totient is φ = 130056192000.

The previous prime is 500500004959. The next prime is 500500005001. The reversal of 500500005000 is 500005005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (500500005001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 434084424 + ... + 434085576.

It is an arithmetic number, because the mean of its divisors is an integer number (5011534077).

Almost surely, 2^500500005000 is an apocalyptic number.

500500005000 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 500500005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801845452320).

500500005000 is an abundant number, since it is smaller than the sum of its proper divisors (1103190899640).

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

500500005000 is a wasteful number, since it uses less digits than its factorization.

500500005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The spelling of 500500005000 in words is "five hundred billion, five hundred million, five thousand".