504213081120 has 576 divisors, whose sum is σ = 2061879805440. Its totient is φ = 114742849536.

The previous prime is 504213081109. The next prime is 504213081143. The reversal of 504213081120 is 21180312405.

504213081120 is a `hidden beast` number, since 504 + 2 + 1 + 30 + 8 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49316329 + ... + 49326551.

It is an arithmetic number, because the mean of its divisors is an integer number (3579652440).

Almost surely, 2^504213081120 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 504213081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030939902720).

504213081120 is an abundant number, since it is smaller than the sum of its proper divisors (1557666724320).

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

504213081120 is a wasteful number, since it uses less digits than its factorization.

504213081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 504213081120 its reverse (21180312405), we get a palindrome (525393393525).

The spelling of 504213081120 in words is "five hundred four billion, two hundred thirteen million, eighty-one thousand, one hundred twenty".