509282872560 has 1440 divisors, whose sum is σ = 2249710295040. Its totient is φ = 101114956800.

The previous prime is 509282872537. The next prime is 509282872597. The reversal of 509282872560 is 65278282905.

It is a happy number.

509282872560 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 8 + 2 + 8 + 72 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 509282872497 and 509282872506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6446618601 + ... + 6446618679.

It is an arithmetic number, because the mean of its divisors is an integer number (1562298816).

Almost surely, 2^509282872560 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 509282872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124855147520).

509282872560 is an abundant number, since it is smaller than the sum of its proper divisors (1740427422480).

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

509282872560 is a wasteful number, since it uses less digits than its factorization.

509282872560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 509282872560 in words is "five hundred nine billion, two hundred eighty-two million, eight hundred seventy-two thousand, five hundred sixty".