504127942560 has 480 divisors, whose sum is σ = 1943209300032. Its totient is φ = 122067025920.

The previous prime is 504127942543. The next prime is 504127942621. The reversal of 504127942560 is 65249721405.

504127942560 is a `hidden beast` number, since 5 + 0 + 4 + 12 + 79 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 164370147 + ... + 164373213.

Almost surely, 2^504127942560 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 504127942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971604650016).

504127942560 is an abundant number, since it is smaller than the sum of its proper divisors (1439081357472).

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

504127942560 is a wasteful number, since it uses less digits than its factorization.

504127942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 504127942560 in words is "five hundred four billion, one hundred twenty-seven million, nine hundred forty-two thousand, five hundred sixty".