504401612000 has 384 divisors, whose sum is σ = 1495391683968. Its totient is φ = 164726784000.

The previous prime is 504401611993. The next prime is 504401612009. The reversal of 504401612000 is 216104405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504401612009) 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, 21152084 + ... + 21175916.

It is an arithmetic number, because the mean of its divisors is an integer number (3894249177).

Almost surely, 2^504401612000 is an apocalyptic number.

504401612000 is a gapful number since it is divisible by the number (50) 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 504401612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747695841984).

504401612000 is an abundant number, since it is smaller than the sum of its proper divisors (990990071968).

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

504401612000 is a wasteful number, since it uses less digits than its factorization.

504401612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23919 (or 23901 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 504401612000 its reverse (216104405), we get a palindrome (504617716405).

The spelling of 504401612000 in words is "five hundred four billion, four hundred one million, six hundred twelve thousand".