504069558912 has 768 divisors, whose sum is σ = 1610039808000. Its totient is φ = 150958080000.

The previous prime is 504069558907. The next prime is 504069558977. The reversal of 504069558912 is 219855960405.

504069558912 is a `hidden beast` number, since 5 + 0 + 40 + 6 + 9 + 5 + 589 + 12 = 666.

It is a super-2 number, since 2×504069558912² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4990787662 + ... + 4990787762.

It is an arithmetic number, because the mean of its divisors is an integer number (2096406000).

Almost surely, 2^504069558912 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 504069558912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805019904000).

504069558912 is an abundant number, since it is smaller than the sum of its proper divisors (1105970249088).

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

504069558912 is a wasteful number, since it uses less digits than its factorization.

504069558912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 504069558912 in words is "five hundred four billion, sixty-nine million, five hundred fifty-eight thousand, nine hundred twelve".