505723935360 has 384 divisors, whose sum is σ = 1893419798400. Its totient is φ = 114469576704.

The previous prime is 505723935253. The next prime is 505723935361. The reversal of 505723935360 is 63539327505.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (505723935361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9664146 + ... + 9716334.

It is an arithmetic number, because the mean of its divisors is an integer number (4930780725).

Almost surely, 2^505723935360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505723935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946709899200).

505723935360 is an abundant number, since it is smaller than the sum of its proper divisors (1387695863040).

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

505723935360 is a wasteful number, since it uses less digits than its factorization.

505723935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52328 (or 52309 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 48.

The spelling of 505723935360 in words is "five hundred five billion, seven hundred twenty-three million, nine hundred thirty-five thousand, three hundred sixty".