509147959320 has 2304 divisors, whose sum is σ = 2478127841280. Its totient is φ = 88716902400.

The previous prime is 509147959297. The next prime is 509147959373. The reversal of 509147959320 is 23959741905.

509147959320 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 47 + 9 + 593 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1329367849 + ... + 1329368231.

It is an arithmetic number, because the mean of its divisors is an integer number (1075576320).

Almost surely, 2^509147959320 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 509147959320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239063920640).

509147959320 is an abundant number, since it is smaller than the sum of its proper divisors (1968979881960).

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

509147959320 is a wasteful number, since it uses less digits than its factorization.

509147959320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 509147959320 in words is "five hundred nine billion, one hundred forty-seven million, nine hundred fifty-nine thousand, three hundred twenty".