505967616000 has 2688 divisors, whose sum is σ = 2449592451072. Its totient is φ = 97320960000.

The previous prime is 505967615987. The next prime is 505967616041. The reversal of 505967616000 is 616769505.

505967616000 is a `hidden beast` number, since 50 + 596 + 7 + 6 + 1 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16321535985 + ... + 16321536015.

Almost surely, 2^505967616000 is an apocalyptic number.

505967616000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505967616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224796225536).

505967616000 is an abundant number, since it is smaller than the sum of its proper divisors (1943624835072).

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

505967616000 is a wasteful number, since it uses less digits than its factorization.

505967616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 505967616000 in words is "five hundred five billion, nine hundred sixty-seven million, six hundred sixteen thousand".