504640959900 has 864 divisors, whose sum is σ = 1975265574912. Its totient is φ = 98133235200.

The previous prime is 504640959869. The next prime is 504640959913. The reversal of 504640959900 is 9959046405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174796257 + ... + 174799143.

It is an arithmetic number, because the mean of its divisors is an integer number (2286187008).

Almost surely, 2^504640959900 is an apocalyptic number.

504640959900 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 504640959900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987632787456).

504640959900 is an abundant number, since it is smaller than the sum of its proper divisors (1470624615012).

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

504640959900 is a wasteful number, since it uses less digits than its factorization.

504640959900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 504640959900 in words is "five hundred four billion, six hundred forty million, nine hundred fifty-nine thousand, nine hundred".