509696000000 has 420 divisors, whose sum is σ = 1397699452968. Its totient is φ = 184320000000.

The previous prime is 509695999951. The next prime is 509696000003. The reversal of 509696000000 is 696905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509696000003) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2815999910 + ... + 2816000090.

Almost surely, 2^509696000000 is an apocalyptic number.

509696000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698849726484).

509696000000 is an abundant number, since it is smaller than the sum of its proper divisors (888003452968).

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

509696000000 is an frugal number, since it uses more digits than its factorization.

509696000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

Adding to 509696000000 its reverse (696905), we get a palindrome (509696696905).

The spelling of 509696000000 in words is "five hundred nine billion, six hundred ninety-six million", and thus it is an aban number.