508386106368 has 528 divisors, whose sum is σ = 1742275392000. Its totient is φ = 139698929664.

The previous prime is 508386106337. The next prime is 508386106373. The reversal of 508386106368 is 863601683805.

508386106368 is a `hidden beast` number, since 508 + 3 + 8 + 6 + 10 + 63 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821301963 + ... + 821302581.

It is an arithmetic number, because the mean of its divisors is an integer number (3299764000).

Almost surely, 2^508386106368 is an apocalyptic number.

508386106368 is a gapful number since it is divisible by the number (58) 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 508386106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871137696000).

508386106368 is an abundant number, since it is smaller than the sum of its proper divisors (1233889285632).

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

508386106368 is a wasteful number, since it uses less digits than its factorization.

508386106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 508386106368 in words is "five hundred eight billion, three hundred eighty-six million, one hundred six thousand, three hundred sixty-eight".