504212210252352 has 168 divisors, whose sum is σ = 1651706564918592. Its totient is φ = 144059636505600.

The previous prime is 504212210252341. The next prime is 504212210252357. The reversal of 504212210252352 is 253252012212405.

504212210252352 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 1 + 22 + 102 + 523 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (504212210252357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741431202 + ... + 742110942.

It is an arithmetic number, because the mean of its divisors is an integer number (9831586695944).

Almost surely, 2^{504212210252352} is an apocalyptic number.

It is an amenable number.

504212210252352 is an abundant number, since it is smaller than the sum of its proper divisors (1147494354666240).

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

504212210252352 is a wasteful number, since it uses less digits than its factorization.

504212210252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863737 (or 863724 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 504212210252352 its reverse (253252012212405), we get a palindrome (757464222464757).

The spelling of 504212210252352 in words is "five hundred four trillion, two hundred twelve billion, two hundred ten million, two hundred fifty-two thousand, three hundred fifty-two".