505207248000 has 2304 divisors, whose sum is σ = 2230745287680. Its totient is φ = 100638720000.

The previous prime is 505207247999. The next prime is 505207248043. The reversal of 505207248000 is 842702505.

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, 12322127980 + ... + 12322128020.

It is an arithmetic number, because the mean of its divisors is an integer number (968205420).

Almost surely, 2^505207248000 is an apocalyptic number.

505207248000 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 505207248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115372643840).

505207248000 is an abundant number, since it is smaller than the sum of its proper divisors (1725538039680).

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

505207248000 is a wasteful number, since it uses less digits than its factorization.

505207248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 505207248000 in words is "five hundred five billion, two hundred seven million, two hundred forty-eight thousand".