504516350660166 has 192 divisors, whose sum is σ = 1204133956945920. Its totient is φ = 151695222716160.

The previous prime is 504516350660143. The next prime is 504516350660183. The reversal of 504516350660166 is 661066053615405.

504516350660166 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 1 + 63 + 506 + 60 + 16 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21395024496 + ... + 21395048076.

It is an arithmetic number, because the mean of its divisors is an integer number (6271531025760).

Almost surely, 2^{504516350660166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504516350660166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602066978472960).

504516350660166 is an abundant number, since it is smaller than the sum of its proper divisors (699617606285754).

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

504516350660166 is a wasteful number, since it uses less digits than its factorization.

504516350660166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26611 (or 26608 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 504516350660166 in words is "five hundred four trillion, five hundred sixteen billion, three hundred fifty million, six hundred sixty thousand, one hundred sixty-six".