505820340480 has 1152 divisors, whose sum is σ = 2049143685120. Its totient is φ = 103514112000.

The previous prime is 505820340479. The next prime is 505820340539. The reversal of 505820340480 is 84043028505.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2015220355 + ... + 2015220605.

It is an arithmetic number, because the mean of its divisors is an integer number (1778770560).

Almost surely, 2^505820340480 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 505820340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024571842560).

505820340480 is an abundant number, since it is smaller than the sum of its proper divisors (1543323344640).

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

505820340480 is a wasteful number, since it uses less digits than its factorization.

505820340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 505820340480 its reverse (84043028505), we get a palindrome (589863368985).

The spelling of 505820340480 in words is "five hundred five billion, eight hundred twenty million, three hundred forty thousand, four hundred eighty".