505998323210016 has 960 divisors, whose sum is σ = 2041346245720320. Its totient is φ = 118989551370240.

The previous prime is 505998323209993. The next prime is 505998323210057. The reversal of 505998323210016 is 610012323899505.

505998323210016 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 98 + 323 + 210 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72865876 + ... + 79507436.

It is an arithmetic number, because the mean of its divisors is an integer number (2126402339292).

Almost surely, 2^{505998323210016} is an apocalyptic number.

505998323210016 is a gapful number since it is divisible by the number (56) 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 505998323210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020673122860160).

505998323210016 is an abundant number, since it is smaller than the sum of its proper divisors (1535347922510304).

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

505998323210016 is a wasteful number, since it uses less digits than its factorization.

505998323210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641639 (or 6641622 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 505998323210016 in words is "five hundred five trillion, nine hundred ninety-eight billion, three hundred twenty-three million, two hundred ten thousand, sixteen".