508112732160 has 1088 divisors, whose sum is σ = 2065595074560. Its totient is φ = 117304197120.

The previous prime is 508112732117. The next prime is 508112732189. The reversal of 508112732160 is 61237211805.

508112732160 is a `hidden beast` number, since 508 + 1 + 1 + 2 + 73 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2238381967 + ... + 2238382193.

Almost surely, 2^508112732160 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 508112732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032797537280).

508112732160 is an abundant number, since it is smaller than the sum of its proper divisors (1557482342400).

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

508112732160 is a wasteful number, since it uses less digits than its factorization.

508112732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 508112732160 its reverse (61237211805), we get a palindrome (569349943965).

The spelling of 508112732160 in words is "five hundred eight billion, one hundred twelve million, seven hundred thirty-two thousand, one hundred sixty".