505596944196864 has 864 divisors, whose sum is σ = 1636554285394560. Its totient is φ = 153885597106176.

The previous prime is 505596944196863. The next prime is 505596944196917. The reversal of 505596944196864 is 468691449695505.

505596944196864 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 9 + 6 + 9 + 441 + 96 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505596944196863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96617032392 + ... + 96617037624.

It is an arithmetic number, because the mean of its divisors is an integer number (1894160052540).

Almost surely, 2^{505596944196864} is an apocalyptic number.

505596944196864 is a gapful number since it is divisible by the number (54) 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 505596944196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818277142697280).

505596944196864 is an abundant number, since it is smaller than the sum of its proper divisors (1130957341197696).

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

505596944196864 is a wasteful number, since it uses less digits than its factorization.

505596944196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 10077696000, while the sum is 81.

The spelling of 505596944196864 in words is "five hundred five trillion, five hundred ninety-six billion, nine hundred forty-four million, one hundred ninety-six thousand, eight hundred sixty-four".