504223125432120 has 256 divisors, whose sum is σ = 1689056419968000. Its totient is φ = 133794748684800.

The previous prime is 504223125432101. The next prime is 504223125432121. The reversal of 504223125432120 is 21234521322405.

504223125432120 is a `hidden beast` number, since 5 + 0 + 42 + 2 + 31 + 2 + 543 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504223125432121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120716810 + ... + 1121166630.

It is an arithmetic number, because the mean of its divisors is an integer number (6597876640500).

Almost surely, 2^{504223125432120} 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 504223125432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844528209984000).

504223125432120 is an abundant number, since it is smaller than the sum of its proper divisors (1184833294535880).

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

504223125432120 is a wasteful number, since it uses less digits than its factorization.

504223125432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454971 (or 454961 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 504223125432120 its reverse (21234521322405), we get a palindrome (525457646754525).

The spelling of 504223125432120 in words is "five hundred four trillion, two hundred twenty-three billion, one hundred twenty-five million, four hundred thirty-two thousand, one hundred twenty".