506206713600 has 648 divisors, whose sum is σ = 2144998128000. Its totient is φ = 115701903360.

The previous prime is 506206713599. The next prime is 506206713629. The reversal of 506206713600 is 6317602605.

506206713600 is a `hidden beast` number, since 506 + 20 + 6 + 71 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 10863151 + ... + 10909649.

Almost surely, 2^506206713600 is an apocalyptic number.

506206713600 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 506206713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072499064000).

506206713600 is an abundant number, since it is smaller than the sum of its proper divisors (1638791414400).

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

506206713600 is an equidigital number, since it uses as much as digits as its factorization.

506206713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46547 (or 46516 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 506206713600 in words is "five hundred six billion, two hundred six million, seven hundred thirteen thousand, six hundred".