506803918723200 has 1728 divisors, whose sum is σ = 2173179327621120. Its totient is φ = 112017398169600.

The previous prime is 506803918723163. The next prime is 506803918723247. The reversal of 506803918723200 is 2327819308605.

506803918723200 is a `hidden beast` number, since 50 + 68 + 0 + 39 + 187 + 2 + 320 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68551858704 + ... + 68551866096.

Almost surely, 2^{506803918723200} is an apocalyptic number.

506803918723200 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 506803918723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086589663810560).

506803918723200 is an abundant number, since it is smaller than the sum of its proper divisors (1666375408897920).

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

506803918723200 is a wasteful number, since it uses less digits than its factorization.

506803918723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 506803918723200 in words is "five hundred six trillion, eight hundred three billion, nine hundred eighteen million, seven hundred twenty-three thousand, two hundred".