509800629800 has 384 divisors, whose sum is σ = 1553069168640. Its totient is φ = 151001625600.

The previous prime is 509800629787. The next prime is 509800629809. The reversal of 509800629800 is 8926008905.

It is not an unprimeable number, because it can be changed into a prime (509800629809) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24490997 + ... + 24511803.

It is an arithmetic number, because the mean of its divisors is an integer number (4044450960).

Almost surely, 2^509800629800 is an apocalyptic number.

509800629800 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 509800629800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776534584320).

509800629800 is an abundant number, since it is smaller than the sum of its proper divisors (1043268538840).

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

509800629800 is a wasteful number, since it uses less digits than its factorization.

509800629800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20921 (or 20912 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 509800629800 in words is "five hundred nine billion, eight hundred million, six hundred twenty-nine thousand, eight hundred".