509830058640 has 80 divisors (see below), whose sum is σ = 1806255070848. Its totient is φ = 116532584448.

The previous prime is 509830058629. The next prime is 509830058659. The reversal of 509830058640 is 46850038905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 509830058640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151733457 + ... + 151736816.

Almost surely, 2^509830058640 is an apocalyptic number.

It is an amenable number.

509830058640 is an abundant number, since it is smaller than the sum of its proper divisors (1296425012208).

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

509830058640 is a wasteful number, since it uses less digits than its factorization.

509830058640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303470296 (or 303470290 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 509830058640 in words is "five hundred nine billion, eight hundred thirty million, fifty-eight thousand, six hundred forty".