509828160000 has 200 divisors, whose sum is σ = 1697227513344. Its totient is φ = 135953920000.

The previous prime is 509828159999. The next prime is 509828160097. The reversal of 509828160000 is 61828905.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694465 + ... + 1225535.

Almost surely, 2^509828160000 is an apocalyptic number.

509828160000 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 509828160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848613756672).

509828160000 is an abundant number, since it is smaller than the sum of its proper divisors (1187399353344).

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

509828160000 is an frugal number, since it uses more digits than its factorization.

509828160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531112 (or 531081 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

Adding to 509828160000 its reverse (61828905), we get a palindrome (509889988905).

The spelling of 509828160000 in words is "five hundred nine billion, eight hundred twenty-eight million, one hundred sixty thousand".