505508619798 has 224 divisors, whose sum is σ = 1400977670400. Its totient is φ = 133154497728.

The previous prime is 505508619779. The next prime is 505508619799. The reversal of 505508619798 is 897916805505.

505508619798 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 0 + 8 + 619 + 7 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505508619799) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135197013 + ... + 135200751.

It is an arithmetic number, because the mean of its divisors is an integer number (6254364600).

Almost surely, 2^505508619798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505508619798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700488835200).

505508619798 is an abundant number, since it is smaller than the sum of its proper divisors (895469050602).

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

505508619798 is a wasteful number, since it uses less digits than its factorization.

505508619798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 505508619798 in words is "five hundred five billion, five hundred eight million, six hundred nineteen thousand, seven hundred ninety-eight".