505556416332 has 192 divisors, whose sum is σ = 1456004659200. Its totient is φ = 150418944000.

The previous prime is 505556416327. The next prime is 505556416361. The reversal of 505556416332 is 233614655505.

505556416332 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 5 + 6 + 4 + 1 + 633 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16972332 + ... + 17002092.

It is an arithmetic number, because the mean of its divisors is an integer number (7583357600).

Almost surely, 2^505556416332 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 505556416332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728002329600).

505556416332 is an abundant number, since it is smaller than the sum of its proper divisors (950448242868).

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

505556416332 is a wasteful number, since it uses less digits than its factorization.

505556416332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30045 (or 30037 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 505556416332 in words is "five hundred five billion, five hundred fifty-six million, four hundred sixteen thousand, three hundred thirty-two".