505334542200 has 192 divisors, whose sum is σ = 1591006085760. Its totient is φ = 132653790720.

The previous prime is 505334542183. The next prime is 505334542201. The reversal of 505334542200 is 2245433505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505334542201) 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, 75050034 + ... + 75056766.

It is an arithmetic number, because the mean of its divisors is an integer number (8286490030).

Almost surely, 2^505334542200 is an apocalyptic number.

505334542200 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 505334542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795503042880).

505334542200 is an abundant number, since it is smaller than the sum of its proper divisors (1085671543560).

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

505334542200 is a wasteful number, since it uses less digits than its factorization.

505334542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 505334542200 its reverse (2245433505), we get a palindrome (507579975705).

The spelling of 505334542200 in words is "five hundred five billion, three hundred thirty-four million, five hundred forty-two thousand, two hundred".