509686011297792 has 768 divisors, whose sum is σ = 1757929923792000. Its totient is φ = 145523812073472.

The previous prime is 509686011297781. The next prime is 509686011297823. The reversal of 509686011297792 is 297792110686905.

509686011297792 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 8 + 601 + 1 + 2 + 9 + 7 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×509686011297792² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 509686011297792.

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 47 ways as a sum of consecutive naturals, for example, 81458525128 + ... + 81458531384.

Almost surely, 2^{509686011297792} 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 509686011297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878964961896000).

509686011297792 is an abundant number, since it is smaller than the sum of its proper divisors (1248243912494208).

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

509686011297792 is an equidigital number, since it uses as much as digits as its factorization.

509686011297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 509686011297792 in words is "five hundred nine trillion, six hundred eighty-six billion, eleven million, two hundred ninety-seven thousand, seven hundred ninety-two".