505201796880 has 640 divisors, whose sum is σ = 1778740439040. Its totient is φ = 117574778880.

The previous prime is 505201796863. The next prime is 505201796887. The reversal of 505201796880 is 88697102505.

It is not an unprimeable number, because it can be changed into a prime (505201796887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1785165219 + ... + 1785165501.

It is an arithmetic number, because the mean of its divisors is an integer number (2779281936).

Almost surely, 2^505201796880 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 505201796880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889370219520).

505201796880 is an abundant number, since it is smaller than the sum of its proper divisors (1273538642160).

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

505201796880 is a wasteful number, since it uses less digits than its factorization.

505201796880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 505201796880 in words is "five hundred five billion, two hundred one million, seven hundred ninety-six thousand, eight hundred eighty".