506217600000 has 1848 divisors, whose sum is σ = 2237227808256. Its totient is φ = 111974400000.

The previous prime is 506217599999. The next prime is 506217600037. The reversal of 506217600000 is 6712605.

506217600000 is a `hidden beast` number, since 50 + 6 + 2 + 1 + 7 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 167 ways as a sum of consecutive naturals, for example, 16329599985 + ... + 16329600015.

Almost surely, 2^506217600000 is an apocalyptic number.

506217600000 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 506217600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118613904128).

506217600000 is an abundant number, since it is smaller than the sum of its proper divisors (1731010208256).

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

506217600000 is an frugal number, since it uses more digits than its factorization.

506217600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 506217600000 in words is "five hundred six billion, two hundred seventeen million, six hundred thousand".