509985423360 has 576 divisors, whose sum is σ = 2030982539040. Its totient is φ = 115964116992.

The previous prime is 509985423341. The next prime is 509985423361. The reversal of 509985423360 is 63324589905.

509985423360 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 8 + 542 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 509985423297 and 509985423306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509985423361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642411424 + ... + 2642411616.

Almost surely, 2^509985423360 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 509985423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015491269520).

509985423360 is an abundant number, since it is smaller than the sum of its proper divisors (1520997115680).

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

509985423360 is an frugal number, since it uses more digits than its factorization.

509985423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 509985423360 in words is "five hundred nine billion, nine hundred eighty-five million, four hundred twenty-three thousand, three hundred sixty".