505692216960 has 1024 divisors, whose sum is σ = 2021444812800. Its totient is φ = 104927477760.

The previous prime is 505692216959. The next prime is 505692216973. The reversal of 505692216960 is 69612296505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005352069 + ... + 1005352571.

It is an arithmetic number, because the mean of its divisors is an integer number (1974067200).

Almost surely, 2^505692216960 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 505692216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010722406400).

505692216960 is an abundant number, since it is smaller than the sum of its proper divisors (1515752595840).

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

505692216960 is a wasteful number, since it uses less digits than its factorization.

505692216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

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

The spelling of 505692216960 in words is "five hundred five billion, six hundred ninety-two million, two hundred sixteen thousand, nine hundred sixty".