505424212000000 has 504 divisors, whose sum is σ = 1338378099791040. Its totient is φ = 189832704000000.

The previous prime is 505424211999901. The next prime is 505424212000031. The reversal of 505424212000000 is 212424505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29851991535 + ... + 29852008465.

It is an arithmetic number, because the mean of its divisors is an integer number (2655512102760).

Almost surely, 2^{505424212000000} is an apocalyptic number.

505424212000000 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 505424212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669189049895520).

505424212000000 is an abundant number, since it is smaller than the sum of its proper divisors (832953887791040).

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

505424212000000 is an frugal number, since it uses more digits than its factorization.

505424212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 505424212000000 its reverse (212424505), we get a palindrome (505424424424505).

The spelling of 505424212000000 in words is "five hundred five trillion, four hundred twenty-four billion, two hundred twelve million", and thus it is an aban number.