505240064200 has 96 divisors (see below), whose sum is σ = 1222313016960. Its totient is φ = 194063916800.

The previous prime is 505240064171. The next prime is 505240064201. The reversal of 505240064200 is 2460042505.

It is not an unprimeable number, because it can be changed into a prime (505240064201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8866 + ... + 1005265.

It is an arithmetic number, because the mean of its divisors is an integer number (12732427260).

Almost surely, 2^505240064200 is an apocalyptic number.

505240064200 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 505240064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611156508480).

505240064200 is an abundant number, since it is smaller than the sum of its proper divisors (717072952760).

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

505240064200 is a wasteful number, since it uses less digits than its factorization.

505240064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014247 (or 1014238 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 505240064200 in words is "five hundred five billion, two hundred forty million, sixty-four thousand, two hundred".