508138056360 has 192 divisors, whose sum is σ = 1802812826880. Its totient is φ = 123100715520.

The previous prime is 508138056359. The next prime is 508138056397. The reversal of 508138056360 is 63650831805.

508138056360 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 3 + 8 + 0 + 5 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5845374 + ... + 5931666.

It is an arithmetic number, because the mean of its divisors is an integer number (9389650140).

Almost surely, 2^508138056360 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 508138056360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901406413440).

508138056360 is an abundant number, since it is smaller than the sum of its proper divisors (1294674770520).

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

508138056360 is a wasteful number, since it uses less digits than its factorization.

508138056360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87808 (or 87801 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 508138056360 in words is "five hundred eight billion, one hundred thirty-eight million, fifty-six thousand, three hundred sixty".