505721828640 has 384 divisors, whose sum is σ = 1846350858240. Its totient is φ = 113964392448.

The previous prime is 505721828621. The next prime is 505721828653. The reversal of 505721828640 is 46828127505.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 505721828640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158681127 + ... + 158684313.

It is an arithmetic number, because the mean of its divisors is an integer number (4808205360).

Almost surely, 2^505721828640 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 505721828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923175429120).

505721828640 is an abundant number, since it is smaller than the sum of its proper divisors (1340629029600).

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

505721828640 is a wasteful number, since it uses less digits than its factorization.

505721828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 505721828640 in words is "five hundred five billion, seven hundred twenty-one million, eight hundred twenty-eight thousand, six hundred forty".