509550096400 has 120 divisors (see below), whose sum is σ = 1232470045440. Its totient is φ = 202446766080.

The previous prime is 509550096397. The next prime is 509550096401. The reversal of 509550096400 is 4690055905.

It is not an unprimeable number, because it can be changed into a prime (509550096401) 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 23 ways as a sum of consecutive naturals, for example, 36898297 + ... + 36912103.

It is an arithmetic number, because the mean of its divisors is an integer number (10270583712).

Almost surely, 2^509550096400 is an apocalyptic number.

509550096400 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 509550096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616235022720).

509550096400 is an abundant number, since it is smaller than the sum of its proper divisors (722919949040).

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

509550096400 is a wasteful number, since it uses less digits than its factorization.

509550096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14441 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 509550096400 in words is "five hundred nine billion, five hundred fifty million, ninety-six thousand, four hundred".