505406165500 has 96 divisors (see below), whose sum is σ = 1163356084800. Its totient is φ = 191282688000.

The previous prime is 505406165491. The next prime is 505406165581. The reversal of 505406165500 is 5561604505.

It is a self number, because there is not a number n which added to its sum of digits gives 505406165500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7652620 + ... + 7718380.

It is an arithmetic number, because the mean of its divisors is an integer number (12118292550).

Almost surely, 2^505406165500 is an apocalyptic number.

505406165500 is a gapful number since it is divisible by the number (50) 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 505406165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581678042400).

505406165500 is an abundant number, since it is smaller than the sum of its proper divisors (657949919300).

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

505406165500 is a wasteful number, since it uses less digits than its factorization.

505406165500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66608 (or 66596 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 505406165500 in words is "five hundred five billion, four hundred six million, one hundred sixty-five thousand, five hundred".