509311927872 has 448 divisors, whose sum is σ = 1717620664320. Its totient is φ = 146483251200.

The previous prime is 509311927819. The next prime is 509311927903. The reversal of 509311927872 is 278729113905.

It is a happy number.

509311927872 is a `hidden beast` number, since 50 + 9 + 311 + 9 + 278 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57266658 + ... + 57275550.

Almost surely, 2^509311927872 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 509311927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858810332160).

509311927872 is an abundant number, since it is smaller than the sum of its proper divisors (1208308736448).

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

509311927872 is a wasteful number, since it uses less digits than its factorization.

509311927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 509311927872 in words is "five hundred nine billion, three hundred eleven million, nine hundred twenty-seven thousand, eight hundred seventy-two".