509387456352960 has 672 divisors, whose sum is σ = 1896060006297600. Its totient is φ = 125082481582080.

The previous prime is 509387456352911. The next prime is 509387456352991. The reversal of 509387456352960 is 69253654783905.

509387456352960 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 8 + 7 + 4 + 563 + 52 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2006291301 + ... + 2006545179.

Almost surely, 2^{509387456352960} 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 509387456352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948030003148800).

509387456352960 is an abundant number, since it is smaller than the sum of its proper divisors (1386672549944640).

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

509387456352960 is a wasteful number, since it uses less digits than its factorization.

509387456352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254949 (or 254936 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 509387456352960 in words is "five hundred nine trillion, three hundred eighty-seven billion, four hundred fifty-six million, three hundred fifty-two thousand, nine hundred sixty".