509116579840 has 384 divisors, whose sum is σ = 1368296876520. Its totient is φ = 181665792000.

The previous prime is 509116579771. The next prime is 509116579877. The reversal of 509116579840 is 48975611905.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95080955904 + 414035623936 = 308352^2 + 643456^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209302830 + ... + 1209303250.

Almost surely, 2^509116579840 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 509116579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684148438260).

509116579840 is an abundant number, since it is smaller than the sum of its proper divisors (859180296680).

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

509116579840 is an equidigital number, since it uses as much as digits as its factorization.

509116579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 509116579840 in words is "five hundred nine billion, one hundred sixteen million, five hundred seventy-nine thousand, eight hundred forty".