505369419072 has 448 divisors, whose sum is σ = 1590376564224. Its totient is φ = 138644029440.

The previous prime is 505369419053. The next prime is 505369419073. The reversal of 505369419072 is 270914963505.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505369419073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724810158 + ... + 1724810450.

It is an arithmetic number, because the mean of its divisors is an integer number (3549947688).

Almost surely, 2^505369419072 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 505369419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795188282112).

505369419072 is an abundant number, since it is smaller than the sum of its proper divisors (1085007145152).

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

505369419072 is a wasteful number, since it uses less digits than its factorization.

505369419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 505369419072 in words is "five hundred five billion, three hundred sixty-nine million, four hundred nineteen thousand, seventy-two".