509984242320 has 240 divisors, whose sum is σ = 1878196716288. Its totient is φ = 114087536640.

The previous prime is 509984242267. The next prime is 509984242357. The reversal of 509984242320 is 23242489905.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 509984242320.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91380 + ... + 1014060.

Almost surely, 2^509984242320 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 509984242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939098358144).

509984242320 is an abundant number, since it is smaller than the sum of its proper divisors (1368212473968).

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

509984242320 is a wasteful number, since it uses less digits than its factorization.

509984242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922758 (or 922745 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 509984242320 in words is "five hundred nine billion, nine hundred eighty-four million, two hundred forty-two thousand, three hundred twenty".