506432424000 has 224 divisors, whose sum is σ = 1672972194816. Its totient is φ = 134989516800.

The previous prime is 506432423999. The next prime is 506432424011. The reversal of 506432424000 is 424234605.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99045444 + ... + 99050556.

Almost surely, 2^506432424000 is an apocalyptic number.

506432424000 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 506432424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836486097408).

506432424000 is an abundant number, since it is smaller than the sum of its proper divisors (1166539770816).

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

506432424000 is a wasteful number, since it uses less digits than its factorization.

506432424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9250 counting only the distinct ones).

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

Adding to 506432424000 its reverse (424234605), we get a palindrome (506856658605).

The spelling of 506432424000 in words is "five hundred six billion, four hundred thirty-two million, four hundred twenty-four thousand".