506566016985600 has 3840 divisors, whose sum is σ = 2287117935083520. Its totient is φ = 108132433920000.

The previous prime is 506566016985593. The next prime is 506566016985607. The reversal of 506566016985600 is 6589610665605.

506566016985600 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 6 + 6 + 0 + 1 + 69 + 8 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506566016985593) and next prime (506566016985607).

It is a tau number, because it is divible by the number of its divisors (3840).

It is not an unprimeable number, because it can be changed into a prime (506566016985607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108775178472 + ... + 108775183128.

It is an arithmetic number, because the mean of its divisors is an integer number (595603628928).

Almost surely, 2^{506566016985600} is an apocalyptic number.

506566016985600 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 506566016985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143558967541760).

506566016985600 is an abundant number, since it is smaller than the sum of its proper divisors (1780551918097920).

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

506566016985600 is a wasteful number, since it uses less digits than its factorization.

506566016985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 506566016985600 in words is "five hundred six trillion, five hundred sixty-six billion, sixteen million, nine hundred eighty-five thousand, six hundred".