504536776128 has 560 divisors, whose sum is σ = 1904394691584. Its totient is φ = 128255477760.

The previous prime is 504536776099. The next prime is 504536776141. The reversal of 504536776128 is 821677635405.

504536776128 is a `hidden beast` number, since 5 + 0 + 453 + 67 + 7 + 6 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18747450 + ... + 18774342.

Almost surely, 2^504536776128 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 504536776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952197345792).

504536776128 is an abundant number, since it is smaller than the sum of its proper divisors (1399857915456).

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

504536776128 is a wasteful number, since it uses less digits than its factorization.

504536776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26982 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 504536776128 in words is "five hundred four billion, five hundred thirty-six million, seven hundred seventy-six thousand, one hundred twenty-eight".