505105305433120 has 96 divisors (see below), whose sum is σ = 1410811370438400. Its totient is φ = 167207273511936.

The previous prime is 505105305433109. The next prime is 505105305433123. The reversal of 505105305433120 is 21334503501505.

It is a self number, because there is not a number n which added to its sum of digits gives 505105305433120.

It is not an unprimeable number, because it can be changed into a prime (505105305433123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7775603380 + ... + 7775668339.

It is an arithmetic number, because the mean of its divisors is an integer number (14695951775400).

Almost surely, 2^{505105305433120} is an apocalyptic number.

It is an amenable number.

505105305433120 is an abundant number, since it is smaller than the sum of its proper divisors (905706065005280).

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

505105305433120 is a wasteful number, since it uses less digits than its factorization.

505105305433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551271770 (or 15551271762 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

Adding to 505105305433120 its reverse (21334503501505), we get a palindrome (526439808934625).

The spelling of 505105305433120 in words is "five hundred five trillion, one hundred five billion, three hundred five million, four hundred thirty-three thousand, one hundred twenty".