5317115166720 has 600 divisors, whose sum is σ = 21785631192864. Its totient is φ = 1215329992704.

The previous prime is 5317115166677. The next prime is 5317115166793. The reversal of 5317115166720 is 276615117135.

5317115166720 is a `hidden beast` number, since 5 + 3 + 1 + 71 + 1 + 516 + 67 + 2 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46391404 + ... + 46505876.

Almost surely, 2^{5317115166720} 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 5317115166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892815596432).

5317115166720 is an abundant number, since it is smaller than the sum of its proper divisors (16468516026144).

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

5317115166720 is an equidigital number, since it uses as much as digits as its factorization.

5317115166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114525 (or 114490 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5317115166720 in words is "five trillion, three hundred seventeen billion, one hundred fifteen million, one hundred sixty-six thousand, seven hundred twenty".