504433068160 has 256 divisors, whose sum is σ = 1403029486080. Its totient is φ = 169839820800.

The previous prime is 504433068133. The next prime is 504433068197. The reversal of 504433068160 is 61860334405.

It is a super-2 number, since 2×504433068160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 242398320 + ... + 242400400.

It is an arithmetic number, because the mean of its divisors is an integer number (5480583930).

Almost surely, 2^504433068160 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 504433068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701514743040).

504433068160 is an abundant number, since it is smaller than the sum of its proper divisors (898596417920).

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

504433068160 is a wasteful number, since it uses less digits than its factorization.

504433068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 504433068160 in words is "five hundred four billion, four hundred thirty-three million, sixty-eight thousand, one hundred sixty".