5116817435760 has 640 divisors, whose sum is σ = 19012817387520. Its totient is φ = 1262285337600.

The previous prime is 5116817435711. The next prime is 5116817435767. The reversal of 5116817435760 is 675347186115.

5116817435760 is a `hidden beast` number, since 5 + 1 + 1 + 68 + 1 + 7 + 4 + 3 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5116817435697 and 5116817435706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116817435767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135307255 + ... + 135345065.

It is an arithmetic number, because the mean of its divisors is an integer number (29707527168).

Almost surely, 2^{5116817435760} 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 5116817435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9506408693760).

5116817435760 is an abundant number, since it is smaller than the sum of its proper divisors (13895999951760).

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

5116817435760 is a wasteful number, since it uses less digits than its factorization.

5116817435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37954 (or 37942 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5116817435760 in words is "five trillion, one hundred sixteen billion, eight hundred seventeen million, four hundred thirty-five thousand, seven hundred sixty".