506054143728 has 160 divisors (see below), whose sum is σ = 1660364126720. Its totient is φ = 144561438720.

The previous prime is 506054143711. The next prime is 506054143729. The reversal of 506054143728 is 827341450605.

506054143728 is a `hidden beast` number, since 5 + 0 + 60 + 541 + 43 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506054143729) 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 31 ways as a sum of consecutive naturals, for example, 23216451 + ... + 23238237.

It is an arithmetic number, because the mean of its divisors is an integer number (10377275792).

Almost surely, 2^506054143728 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 506054143728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830182063360).

506054143728 is an abundant number, since it is smaller than the sum of its proper divisors (1154309982992).

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

506054143728 is a wasteful number, since it uses less digits than its factorization.

506054143728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29492 (or 29480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 506054143728 in words is "five hundred six billion, fifty-four million, one hundred forty-three thousand, seven hundred twenty-eight".