509496144336 has 240 divisors, whose sum is σ = 1558340259840. Its totient is φ = 160705192320.

The previous prime is 509496144299. The next prime is 509496144403. The reversal of 509496144336 is 633441694905.

It is a happy number.

509496144336 is a `hidden beast` number, since 5 + 0 + 9 + 496 + 144 + 3 + 3 + 6 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 71726161 + ... + 71733263.

It is an arithmetic number, because the mean of its divisors is an integer number (6493084416).

Almost surely, 2^509496144336 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 509496144336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779170129920).

509496144336 is an abundant number, since it is smaller than the sum of its proper divisors (1048844115504).

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

509496144336 is a wasteful number, since it uses less digits than its factorization.

509496144336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 509496144336 in words is "five hundred nine billion, four hundred ninety-six million, one hundred forty-four thousand, three hundred thirty-six".