506704507201600 has 168 divisors, whose sum is σ = 1278463905838728. Its totient is φ = 197594905804800.

The previous prime is 506704507201513. The next prime is 506704507201603. The reversal of 506704507201600 is 6102705407605.

It can be written as a sum of positive squares in 12 ways, for example, as 491473783347264 + 15230723854336 = 22169208^2 + 3902656^2 .

It is not an unprimeable number, because it can be changed into a prime (506704507201603) 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 23 ways as a sum of consecutive naturals, for example, 11943079 + ... + 34000678.

It is an arithmetic number, because the mean of its divisors is an integer number (7609904201421).

Almost surely, 2^{506704507201600} is an apocalyptic number.

506704507201600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506704507201600 is an abundant number, since it is smaller than the sum of its proper divisors (771759398637128).

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

506704507201600 is a wasteful number, since it uses less digits than its factorization.

506704507201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45943953 (or 45943938 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 506704507201600 in words is "five hundred six trillion, seven hundred four billion, five hundred seven million, two hundred one thousand, six hundred".