5106117041760 has 1152 divisors, whose sum is σ = 20323428249600. Its totient is φ = 1071771402240.

The previous prime is 5106117041749. The next prime is 5106117041783. The reversal of 5106117041760 is 671407116015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1247522274 + ... + 1247526366.

It is an arithmetic number, because the mean of its divisors is an integer number (17641864800).

Almost surely, 2^{5106117041760} 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 5106117041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161714124800).

5106117041760 is an abundant number, since it is smaller than the sum of its proper divisors (15217311207840).

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

5106117041760 is a wasteful number, since it uses less digits than its factorization.

5106117041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 5106117041760 in words is "five trillion, one hundred six billion, one hundred seventeen million, forty-one thousand, seven hundred sixty".