506556641028780 has 768 divisors, whose sum is σ = 1816158958387200. Its totient is φ = 116517481344000.

The previous prime is 506556641028679. The next prime is 506556641028797. The reversal of 506556641028780 is 87820146655605.

506556641028780 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 5 + 66 + 410 + 2 + 87 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 445670595 + ... + 446805765.

It is an arithmetic number, because the mean of its divisors is an integer number (2364790310400).

Almost surely, 2^{506556641028780} 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 506556641028780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908079479193600).

506556641028780 is an abundant number, since it is smaller than the sum of its proper divisors (1309602317358420).

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

506556641028780 is a wasteful number, since it uses less digits than its factorization.

506556641028780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135323 (or 1135315 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 506556641028780 in words is "five hundred six trillion, five hundred fifty-six billion, six hundred forty-one million, twenty-eight thousand, seven hundred eighty".