506216375280 has 2240 divisors, whose sum is σ = 2459092608000. Its totient is φ = 93521018880.

The previous prime is 506216375267. The next prime is 506216375281. The reversal of 506216375280 is 82573612605.

506216375280 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 1 + 637 + 5 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506216375281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1450476546 + ... + 1450476894.

It is an arithmetic number, because the mean of its divisors is an integer number (1097809200).

Almost surely, 2^506216375280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506216375280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229546304000).

506216375280 is an abundant number, since it is smaller than the sum of its proper divisors (1952876232720).

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

506216375280 is a wasteful number, since it uses less digits than its factorization.

506216375280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 506216375280 its reverse (82573612605), we get a palindrome (588789987885).

The spelling of 506216375280 in words is "five hundred six billion, two hundred sixteen million, three hundred seventy-five thousand, two hundred eighty".