505105694208 has 280 divisors, whose sum is σ = 1545393329568. Its totient is φ = 164780531712.

The previous prime is 505105694207. The next prime is 505105694221. The reversal of 505105694208 is 802496501505.

505105694208 is a `hidden beast` number, since 50 + 5 + 10 + 569 + 4 + 20 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105694207) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17528260 + ... + 17557052.

Almost surely, 2^505105694208 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 505105694208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772696664784).

505105694208 is an abundant number, since it is smaller than the sum of its proper divisors (1040287635360).

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

505105694208 is an frugal number, since it uses more digits than its factorization.

505105694208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876 (or 28845 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 505105694208 in words is "five hundred five billion, one hundred five million, six hundred ninety-four thousand, two hundred eight".