505405342160 has 80 divisors (see below), whose sum is σ = 1195441433280. Its totient is φ = 198659558400.

The previous prime is 505405342159. The next prime is 505405342163. The reversal of 505405342160 is 61243504505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 505405342160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505405342163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13211060 + ... + 13249260.

It is an arithmetic number, because the mean of its divisors is an integer number (14943017916).

Almost surely, 2^505405342160 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 505405342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597720716640).

505405342160 is an abundant number, since it is smaller than the sum of its proper divisors (690036091120).

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

505405342160 is a wasteful number, since it uses less digits than its factorization.

505405342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41076 (or 41070 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 505405342160 its reverse (61243504505), we get a palindrome (566648846665).

The spelling of 505405342160 in words is "five hundred five billion, four hundred five million, three hundred forty-two thousand, one hundred sixty".