505559388672 has 480 divisors, whose sum is σ = 1633782150000. Its totient is φ = 149428371456.

The previous prime is 505559388667. The next prime is 505559388679. The reversal of 505559388672 is 276883955505.

505559388672 is a `hidden beast` number, since 5 + 0 + 5 + 559 + 3 + 8 + 8 + 6 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75831941376 + 429727447296 = 275376^2 + 655536^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (505559388679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404770704 + ... + 404771952.

Almost surely, 2^505559388672 is an apocalyptic number.

505559388672 is a gapful number since it is divisible by the number (52) 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 505559388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816891075000).

505559388672 is an abundant number, since it is smaller than the sum of its proper divisors (1128222761328).

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

505559388672 is a wasteful number, since it uses less digits than its factorization.

505559388672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 505559388672 in words is "five hundred five billion, five hundred fifty-nine million, three hundred eighty-eight thousand, six hundred seventy-two".