509949887904 has 144 divisors (see below), whose sum is σ = 1533461739264. Its totient is φ = 160487654400.

The previous prime is 509949887903. The next prime is 509949887933. The reversal of 509949887904 is 409788949905.

509949887904 is a `hidden beast` number, since 50 + 9 + 9 + 498 + 87 + 9 + 0 + 4 = 666.

509949887904 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (509949887903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330514 + ... + 1062609.

It is an arithmetic number, because the mean of its divisors is an integer number (10649039856).

Almost surely, 2^509949887904 is an apocalyptic number.

It is an amenable number.

509949887904 is an abundant number, since it is smaller than the sum of its proper divisors (1023511851360).

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

509949887904 is a wasteful number, since it uses less digits than its factorization.

509949887904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393211 (or 1393200 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 509949887904 in words is "five hundred nine billion, nine hundred forty-nine million, eight hundred eighty-seven thousand, nine hundred four".