505340508120 has 512 divisors, whose sum is σ = 1869340999680. Its totient is φ = 106785423360.

The previous prime is 505340508073. The next prime is 505340508173. The reversal of 505340508120 is 21805043505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80580585 + ... + 80586855.

It is an arithmetic number, because the mean of its divisors is an integer number (3651056640).

Almost surely, 2^505340508120 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 505340508120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934670499840).

505340508120 is an abundant number, since it is smaller than the sum of its proper divisors (1364000491560).

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

505340508120 is a wasteful number, since it uses less digits than its factorization.

505340508120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 505340508120 in words is "five hundred five billion, three hundred forty million, five hundred eight thousand, one hundred twenty".