504045510000 has 200 divisors, whose sum is σ = 1629814792320. Its totient is φ = 134190048000.

The previous prime is 504045509987. The next prime is 504045510061. The reversal of 504045510000 is 15540405.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18556429 + ... + 18583571.

Almost surely, 2^504045510000 is an apocalyptic number.

504045510000 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 504045510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814907396160).

504045510000 is an abundant number, since it is smaller than the sum of its proper divisors (1125769282320).

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

504045510000 is a wasteful number, since it uses less digits than its factorization.

504045510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27793 (or 27772 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 504045510000 in words is "five hundred four billion, forty-five million, five hundred ten thousand".