5172311517120 has 1344 divisors, whose sum is σ = 20777304038400. Its totient is φ = 1168662528000.

The previous prime is 5172311517091. The next prime is 5172311517133. The reversal of 5172311517120 is 217151132715.

5172311517120 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 3 + 11 + 517 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4930706356 + ... + 4930707404.

It is an arithmetic number, because the mean of its divisors is an integer number (15459303600).

Almost surely, 2^{5172311517120} 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 5172311517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388652019200).

5172311517120 is an abundant number, since it is smaller than the sum of its proper divisors (15604992521280).

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

5172311517120 is a wasteful number, since it uses less digits than its factorization.

5172311517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

Adding to 5172311517120 its reverse (217151132715), we get a palindrome (5389462649835).

The spelling of 5172311517120 in words is "five trillion, one hundred seventy-two billion, three hundred eleven million, five hundred seventeen thousand, one hundred twenty".