506384021088 has 384 divisors, whose sum is σ = 1679544599040. Its totient is φ = 147067176960.

The previous prime is 506384021071. The next prime is 506384021111. The reversal of 506384021088 is 880120483605.

506384021088 is a `hidden beast` number, since 5 + 0 + 638 + 4 + 0 + 2 + 1 + 0 + 8 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 23549670 + ... + 23571162.

It is an arithmetic number, because the mean of its divisors is an integer number (4373814060).

Almost surely, 2^506384021088 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 506384021088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839772299520).

506384021088 is an abundant number, since it is smaller than the sum of its proper divisors (1173160577952).

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

506384021088 is a wasteful number, since it uses less digits than its factorization.

506384021088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21613 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 506384021088 in words is "five hundred six billion, three hundred eighty-four million, twenty-one thousand, eighty-eight".