508689427042368 has 1344 divisors, whose sum is σ = 1829798693049600. Its totient is φ = 132820390379520.

The previous prime is 508689427042367. The next prime is 508689427042373. The reversal of 508689427042368 is 863240724986805.

508689427042368 is a `hidden beast` number, since 5 + 0 + 86 + 89 + 4 + 2 + 70 + 42 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 508689427042296 and 508689427042305.

It is not an unprimeable number, because it can be changed into a prime (508689427042367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34763159980 + ... + 34763174612.

It is an arithmetic number, because the mean of its divisors is an integer number (1361457360900).

Almost surely, 2^{508689427042368} 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 508689427042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914899346524800).

508689427042368 is an abundant number, since it is smaller than the sum of its proper divisors (1321109266007232).

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

508689427042368 is a wasteful number, since it uses less digits than its factorization.

508689427042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 508689427042368 in words is "five hundred eight trillion, six hundred eighty-nine billion, four hundred twenty-seven million, forty-two thousand, three hundred sixty-eight".