505380028608 has 1008 divisors, whose sum is σ = 1880244387840. Its totient is φ = 126351912960.

The previous prime is 505380028591. The next prime is 505380028613. The reversal of 505380028608 is 806820083505.

It is a happy number.

505380028608 is a `hidden beast` number, since 5 + 0 + 5 + 38 + 0 + 0 + 2 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3979370241 + ... + 3979370367.

Almost surely, 2^505380028608 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 505380028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940122193920).

505380028608 is an abundant number, since it is smaller than the sum of its proper divisors (1374864359232).

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

505380028608 is a wasteful number, since it uses less digits than its factorization.

505380028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 505380028608 in words is "five hundred five billion, three hundred eighty million, twenty-eight thousand, six hundred eight".