505431360500 has 192 divisors, whose sum is σ = 1277360098560. Its totient is φ = 172668416000.

The previous prime is 505431360463. The next prime is 505431360521. The reversal of 505431360500 is 5063134505.

It is a congruent number.

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, 54879896 + ... + 54889104.

It is an arithmetic number, because the mean of its divisors is an integer number (6652917180).

Almost surely, 2^505431360500 is an apocalyptic number.

505431360500 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 505431360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638680049280).

505431360500 is an abundant number, since it is smaller than the sum of its proper divisors (771928738060).

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

505431360500 is a wasteful number, since it uses less digits than its factorization.

505431360500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 505431360500 in words is "five hundred five billion, four hundred thirty-one million, three hundred sixty thousand, five hundred".