505008117376 has 128 divisors (see below), whose sum is σ = 1163962800000. Its totient is φ = 213781524480.

The previous prime is 505008117349. The next prime is 505008117391. The reversal of 505008117376 is 673711800505.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 24153775 + ... + 24174673.

It is an arithmetic number, because the mean of its divisors is an integer number (9093459375).

Almost surely, 2^505008117376 is an apocalyptic number.

505008117376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505008117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581981400000).

505008117376 is an abundant number, since it is smaller than the sum of its proper divisors (658954682624).

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

505008117376 is a wasteful number, since it uses less digits than its factorization.

505008117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 505008117376 in words is "five hundred five billion, eight million, one hundred seventeen thousand, three hundred seventy-six".