509785436160 has 2080 divisors, whose sum is σ = 2461634284032. Its totient is φ = 97462517760.

The previous prime is 509785436143. The next prime is 509785436203. The reversal of 509785436160 is 61634587905.

509785436160 is a `hidden beast` number, since 5 + 0 + 97 + 8 + 543 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 509785436097 and 509785436106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1660538727 + ... + 1660539033.

Almost surely, 2^509785436160 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 509785436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230817142016).

509785436160 is an abundant number, since it is smaller than the sum of its proper divisors (1951848847872).

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

509785436160 is a wasteful number, since it uses less digits than its factorization.

509785436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 509785436160 in words is "five hundred nine billion, seven hundred eighty-five million, four hundred thirty-six thousand, one hundred sixty".