504365385960 has 448 divisors, whose sum is σ = 1773719700480. Its totient is φ = 128871336960.

The previous prime is 504365385919. The next prime is 504365385967. The reversal of 504365385960 is 69583563405.

It is a happy number.

504365385960 is a `hidden beast` number, since 5 + 0 + 43 + 6 + 5 + 3 + 8 + 596 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 504365385897 and 504365385906.

It is not an unprimeable number, because it can be changed into a prime (504365385967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 93105172 + ... + 93110588.

It is an arithmetic number, because the mean of its divisors is an integer number (3959195760).

Almost surely, 2^504365385960 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 504365385960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886859850240).

504365385960 is an abundant number, since it is smaller than the sum of its proper divisors (1269354314520).

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

504365385960 is a wasteful number, since it uses less digits than its factorization.

504365385960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 504365385960 in words is "five hundred four billion, three hundred sixty-five million, three hundred eighty-five thousand, nine hundred sixty".