504242928000 has 2048 divisors, whose sum is σ = 2245501440000. Its totient is φ = 111089664000.

The previous prime is 504242927999. The next prime is 504242928011. The reversal of 504242928000 is 829242405.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 6075215959 + ... + 6075216041.

It is an arithmetic number, because the mean of its divisors is an integer number (1096436250).

Almost surely, 2^504242928000 is an apocalyptic number.

504242928000 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 504242928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720000).

504242928000 is an abundant number, since it is smaller than the sum of its proper divisors (1741258512000).

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

504242928000 is an equidigital number, since it uses as much as digits as its factorization.

504242928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 504242928000 in words is "five hundred four billion, two hundred forty-two million, nine hundred twenty-eight thousand".