509328000000 has 924 divisors, whose sum is σ = 1920956973936. Its totient is φ = 134784000000.

The previous prime is 509327999963. The next prime is 509328000059. The reversal of 509328000000 is 823905.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3887999935 + ... + 3888000065.

It is an arithmetic number, because the mean of its divisors is an integer number (2078957764).

Almost surely, 2^509328000000 is an apocalyptic number.

509328000000 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 509328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960478486968).

509328000000 is an abundant number, since it is smaller than the sum of its proper divisors (1411628973936).

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

509328000000 is an frugal number, since it uses more digits than its factorization.

509328000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 509328000000 its reverse (823905), we get a palindrome (509328823905).

The spelling of 509328000000 in words is "five hundred nine billion, three hundred twenty-eight million", and thus it is an aban number.