505107867469020 has 576 divisors, whose sum is σ = 1518210826030080. Its totient is φ = 125409133301760.

The previous prime is 505107867468983. The next prime is 505107867469069. The reversal of 505107867469020 is 20964768701505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 29047542486 + ... + 29047559874.

It is an arithmetic number, because the mean of its divisors is an integer number (2635782684080).

Almost surely, 2^{505107867469020} 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 505107867469020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759105413015040).

505107867469020 is an abundant number, since it is smaller than the sum of its proper divisors (1013102958561060).

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

505107867469020 is a wasteful number, since it uses less digits than its factorization.

505107867469020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17706 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 505107867469020 in words is "five hundred five trillion, one hundred seven billion, eight hundred sixty-seven million, four hundred sixty-nine thousand, twenty".