505267728420 has 384 divisors, whose sum is σ = 1763887104000. Its totient is φ = 105228085248.

The previous prime is 505267728373. The next prime is 505267728529. The reversal of 505267728420 is 24827762505.

It is a self number, because there is not a number n which added to its sum of digits gives 505267728420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135859321 + ... + 135863039.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456000).

Almost surely, 2^505267728420 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 505267728420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881943552000).

505267728420 is an abundant number, since it is smaller than the sum of its proper divisors (1258619375580).

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

505267728420 is a wasteful number, since it uses less digits than its factorization.

505267728420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 505267728420 in words is "five hundred five billion, two hundred sixty-seven million, seven hundred twenty-eight thousand, four hundred twenty".