509995048680 has 96 divisors (see below), whose sum is σ = 1784982686760. Its totient is φ = 125537241600.

The previous prime is 509995048657. The next prime is 509995048721. The reversal of 509995048680 is 86840599905.

509995048680 is a `hidden beast` number, since 509 + 9 + 9 + 5 + 0 + 48 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 351888612804 + 158106435876 = 593202^2 + 397626^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54481971 + ... + 54491330.

Almost surely, 2^509995048680 is an apocalyptic number.

It is an amenable number.

509995048680 is an abundant number, since it is smaller than the sum of its proper divisors (1274987638080).

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

509995048680 is a wasteful number, since it uses less digits than its factorization.

509995048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108973331 (or 108973324 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 509995048680 in words is "five hundred nine billion, nine hundred ninety-five million, forty-eight thousand, six hundred eighty".