509425820760 has 128 divisors (see below), whose sum is σ = 1560207744000. Its totient is φ = 133034334720.

The previous prime is 509425820749. The next prime is 509425820809. The reversal of 509425820760 is 67028524905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068837 + ... + 1470123.

It is an arithmetic number, because the mean of its divisors is an integer number (12189123000).

Almost surely, 2^509425820760 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 509425820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780103872000).

509425820760 is an abundant number, since it is smaller than the sum of its proper divisors (1050781923240).

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

509425820760 is a wasteful number, since it uses less digits than its factorization.

509425820760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401521 (or 401517 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 509425820760 in words is "five hundred nine billion, four hundred twenty-five million, eight hundred twenty thousand, seven hundred sixty".