509428220600 has 192 divisors, whose sum is σ = 1291569417600. Its totient is φ = 185743134720.

The previous prime is 509428220597. The next prime is 509428220663. The reversal of 509428220600 is 6022824905.

It is a super-2 number, since 2×509428220600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 88701329 + ... + 88707071.

It is an arithmetic number, because the mean of its divisors is an integer number (6726924050).

Almost surely, 2^509428220600 is an apocalyptic number.

509428220600 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 509428220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645784708800).

509428220600 is an abundant number, since it is smaller than the sum of its proper divisors (782141197000).

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

509428220600 is a wasteful number, since it uses less digits than its factorization.

509428220600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 509428220600 in words is "five hundred nine billion, four hundred twenty-eight million, two hundred twenty thousand, six hundred".