5170704768000 has 2112 divisors, whose sum is σ = 21081430056960. Its totient is φ = 1248362496000.

The previous prime is 5170704767993. The next prime is 5170704768007. The reversal of 5170704768000 is 8674070715.

5170704768000 is a `hidden beast` number, since 5 + 170 + 7 + 0 + 476 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5170704767993) and next prime (5170704768007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5170704768007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30962303917 + ... + 30962304083.

Almost surely, 2^{5170704768000} is an apocalyptic number.

5170704768000 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 5170704768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540715028480).

5170704768000 is an abundant number, since it is smaller than the sum of its proper divisors (15910725288960).

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

5170704768000 is a wasteful number, since it uses less digits than its factorization.

5170704768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 5170704768000 in words is "five trillion, one hundred seventy billion, seven hundred four million, seven hundred sixty-eight thousand".