506382260840 has 128 divisors (see below), whose sum is σ = 1199625292800. Its totient is φ = 192108533760.

The previous prime is 506382260837. The next prime is 506382260843. The reversal of 506382260840 is 48062283605.

It is an interprime number because it is at equal distance from previous prime (506382260837) and next prime (506382260843).

It is a junction number, because it is equal to n+sod(n) for n = 506382260791 and 506382260800.

It is not an unprimeable number, because it can be changed into a prime (506382260843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67885031 + ... + 67892489.

It is an arithmetic number, because the mean of its divisors is an integer number (9372072600).

Almost surely, 2^506382260840 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 506382260840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599812646400).

506382260840 is an abundant number, since it is smaller than the sum of its proper divisors (693243031960).

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

506382260840 is a wasteful number, since it uses less digits than its factorization.

506382260840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 506382260840 in words is "five hundred six billion, three hundred eighty-two million, two hundred sixty thousand, eight hundred forty".