506322424020 has 384 divisors, whose sum is σ = 1691779203072. Its totient is φ = 110714688000.

The previous prime is 506322424009. The next prime is 506322424061. The reversal of 506322424020 is 20424223605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481752495 + ... + 481753545.

It is an arithmetic number, because the mean of its divisors is an integer number (4405675008).

Almost surely, 2^506322424020 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 506322424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845889601536).

506322424020 is an abundant number, since it is smaller than the sum of its proper divisors (1185456779052).

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

506322424020 is a wasteful number, since it uses less digits than its factorization.

506322424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 506322424020 its reverse (20424223605), we get a palindrome (526746647625).

The spelling of 506322424020 in words is "five hundred six billion, three hundred twenty-two million, four hundred twenty-four thousand, twenty".