503120160 has 120 divisors (see below), whose sum is σ = 1775640636. Its totient is φ = 134161920.

The previous prime is 503120153. The next prime is 503120179. The reversal of 503120160 is 61021305.

503120160 is a `hidden beast` number, since 503 + 1 + 2 + 0 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 503015184 + 104976 = 22428^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 6451 + ... + 32370.

Almost surely, 2^503120160 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 503120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887820318).

503120160 is an abundant number, since it is smaller than the sum of its proper divisors (1272520476).

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

503120160 is a wasteful number, since it uses less digits than its factorization.

503120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38848 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 503120160 is about 22430.3401668365. The cubic root of 503120160 is about 795.3480853780.

Adding to 503120160 its reverse (61021305), we get a palindrome (564141465).

The spelling of 503120160 in words is "five hundred three million, one hundred twenty thousand, one hundred sixty".