509852467200 has 360 divisors, whose sum is σ = 1785102121152. Its totient is φ = 127957729280.

The previous prime is 509852467199. The next prime is 509852467213. The reversal of 509852467200 is 2764258905.

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 509852467200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20877397 + ... + 20901803.

Almost surely, 2^509852467200 is an apocalyptic number.

509852467200 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 509852467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892551060576).

509852467200 is an abundant number, since it is smaller than the sum of its proper divisors (1275249653952).

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

509852467200 is a wasteful number, since it uses less digits than its factorization.

509852467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24465 (or 24434 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 509852467200 in words is "five hundred nine billion, eight hundred fifty-two million, four hundred sixty-seven thousand, two hundred".