509745058480 has 160 divisors (see below), whose sum is σ = 1436153794560. Its totient is φ = 164258181120.

The previous prime is 509745058457. The next prime is 509745058547. The reversal of 509745058480 is 84850547905.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6807645 + ... + 6882115.

It is an arithmetic number, because the mean of its divisors is an integer number (8975961216).

Almost surely, 2^509745058480 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 509745058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718076897280).

509745058480 is an abundant number, since it is smaller than the sum of its proper divisors (926408736080).

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

509745058480 is a wasteful number, since it uses less digits than its factorization.

509745058480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75227 (or 75221 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 509745058480 in words is "five hundred nine billion, seven hundred forty-five million, fifty-eight thousand, four hundred eighty".