505807117088 has 96 divisors (see below), whose sum is σ = 1258734403584. Its totient is φ = 194691382272.

The previous prime is 505807117087. The next prime is 505807117091. The reversal of 505807117088 is 880711708505.

It is not an unprimeable number, because it can be changed into a prime (505807117087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2239520 + ... + 2455007.

It is an arithmetic number, because the mean of its divisors is an integer number (13111816704).

Almost surely, 2^505807117088 is an apocalyptic number.

It is an amenable number.

505807117088 is an abundant number, since it is smaller than the sum of its proper divisors (752927286496).

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

505807117088 is a wasteful number, since it uses less digits than its factorization.

505807117088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694594 (or 4694586 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 50.

The spelling of 505807117088 in words is "five hundred five billion, eight hundred seven million, one hundred seventeen thousand, eighty-eight".