506288330496 has 720 divisors, whose sum is σ = 1672820392320. Its totient is φ = 151971655680.

The previous prime is 506288330489. The next prime is 506288330519. The reversal of 506288330496 is 694033882605.

506288330496 is a `hidden beast` number, since 5 + 0 + 628 + 8 + 3 + 3 + 0 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3864796351 + ... + 3864796481.

It is an arithmetic number, because the mean of its divisors is an integer number (2323361656).

Almost surely, 2^506288330496 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 506288330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836410196160).

506288330496 is an abundant number, since it is smaller than the sum of its proper divisors (1166532061824).

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

506288330496 is an frugal number, since it uses more digits than its factorization.

506288330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 506288330496 in words is "five hundred six billion, two hundred eighty-eight million, three hundred thirty thousand, four hundred ninety-six".