505558609920 has 2080 divisors, whose sum is σ = 2373718773888. Its totient is φ = 99883155456.

The previous prime is 505558609909. The next prime is 505558609931. The reversal of 505558609920 is 29906855505.

505558609920 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 5 + 8 + 609 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (505558609909) and next prime (505558609931).

It is a tau number, because it is divible by the number of its divisors (2080).

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, 2566287262 + ... + 2566287458.

Almost surely, 2^505558609920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505558609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186859386944).

505558609920 is an abundant number, since it is smaller than the sum of its proper divisors (1868160163968).

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

505558609920 is a wasteful number, since it uses less digits than its factorization.

505558609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 505558609920 in words is "five hundred five billion, five hundred fifty-eight million, six hundred nine thousand, nine hundred twenty".