509080447800 has 240 divisors, whose sum is σ = 1829082875400. Its totient is φ = 131073465600.

The previous prime is 509080447789. The next prime is 509080447831. The reversal of 509080447800 is 8744080905.

509080447800 is a `hidden beast` number, since 50 + 9 + 0 + 80 + 447 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72006 + ... + 1011605.

Almost surely, 2^509080447800 is an apocalyptic number.

509080447800 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 509080447800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914541437700).

509080447800 is an abundant number, since it is smaller than the sum of its proper divisors (1320002427600).

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

509080447800 is a wasteful number, since it uses less digits than its factorization.

509080447800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083668 (or 1083650 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 509080447800 in words is "five hundred nine billion, eighty million, four hundred forty-seven thousand, eight hundred".