505264164000 has 384 divisors, whose sum is σ = 1716091453440. Its totient is φ = 129822336000.

The previous prime is 505264163983. The next prime is 505264164007. The reversal of 505264164000 is 461462505.

It is not an unprimeable number, because it can be changed into a prime (505264164007) 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 63 ways as a sum of consecutive naturals, for example, 88905159 + ... + 88910841.

It is an arithmetic number, because the mean of its divisors is an integer number (4468988160).

Almost surely, 2^505264164000 is an apocalyptic number.

505264164000 is a gapful number since it is divisible by the number (50) 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 505264164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858045726720).

505264164000 is an abundant number, since it is smaller than the sum of its proper divisors (1210827289440).

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

505264164000 is a wasteful number, since it uses less digits than its factorization.

505264164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 505264164000 in words is "five hundred five billion, two hundred sixty-four million, one hundred sixty-four thousand".