504981210000 has 200 divisors, whose sum is σ = 1642994873344. Its totient is φ = 133600320000.

The previous prime is 504981209911. The next prime is 504981210011. The reversal of 504981210000 is 12189405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 504981210000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3743730 + ... + 3876270.

Almost surely, 2^504981210000 is an apocalyptic number.

504981210000 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 504981210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821497436672).

504981210000 is an abundant number, since it is smaller than the sum of its proper divisors (1138013663344).

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

504981210000 is a wasteful number, since it uses less digits than its factorization.

504981210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132699 (or 132678 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 504981210000 its reverse (12189405), we get a palindrome (504993399405).

The spelling of 504981210000 in words is "five hundred four billion, nine hundred eighty-one million, two hundred ten thousand".