506120043421020 has 1152 divisors, whose sum is σ = 1879884969903360. Its totient is φ = 100881987010560.

The previous prime is 506120043420989. The next prime is 506120043421039. The reversal of 506120043421020 is 20124340021605.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3914818780 + ... + 3914948060.

It is an arithmetic number, because the mean of its divisors is an integer number (1631844591930).

Almost surely, 2^{506120043421020} 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 506120043421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939942484951680).

506120043421020 is an abundant number, since it is smaller than the sum of its proper divisors (1373764926482340).

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

506120043421020 is a wasteful number, since it uses less digits than its factorization.

506120043421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129463 (or 129454 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 506120043421020 its reverse (20124340021605), we get a palindrome (526244383442625).

The spelling of 506120043421020 in words is "five hundred six trillion, one hundred twenty billion, forty-three million, four hundred twenty-one thousand, twenty".