504132512400504 has 160 divisors (see below), whose sum is σ = 1521088580716320. Its totient is φ = 155073581892864.

The previous prime is 504132512400481. The next prime is 504132512400541. The reversal of 504132512400504 is 405004215231405.

504132512400504 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 3 + 25 + 124 + 0 + 0 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 21119277 + ... + 38135139.

It is an arithmetic number, because the mean of its divisors is an integer number (9506803629477).

Almost surely, 2^{504132512400504} is an apocalyptic number.

504132512400504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504132512400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760544290358160).

504132512400504 is an abundant number, since it is smaller than the sum of its proper divisors (1016956068315816).

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

504132512400504 is a wasteful number, since it uses less digits than its factorization.

504132512400504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019411 (or 17019398 counting only the distinct ones).

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

Adding to 504132512400504 its reverse (405004215231405), we get a palindrome (909136727631909).

The spelling of 504132512400504 in words is "five hundred four trillion, one hundred thirty-two billion, five hundred twelve million, four hundred thousand, five hundred four".