505082252920 has 192 divisors, whose sum is σ = 1405085330880. Its totient is φ = 162361995264.

The previous prime is 505082252893. The next prime is 505082252957. The reversal of 505082252920 is 29252280505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8734342 + ... + 8791978.

It is an arithmetic number, because the mean of its divisors is an integer number (7318152765).

Almost surely, 2^505082252920 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 505082252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702542665440).

505082252920 is an abundant number, since it is smaller than the sum of its proper divisors (900003077960).

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

505082252920 is a wasteful number, since it uses less digits than its factorization.

505082252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57942 (or 57931 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 505082252920 in words is "five hundred five billion, eighty-two million, two hundred fifty-two thousand, nine hundred twenty".