5105170128240 has 640 divisors, whose sum is σ = 21658013798400. Its totient is φ = 1076359311360.

The previous prime is 5105170128239. The next prime is 5105170128241. The reversal of 5105170128240 is 428210715015.

It is a happy number.

5105170128240 is a `hidden beast` number, since 5 + 10 + 517 + 0 + 12 + 82 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5105170128239) and next prime (5105170128241).

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

It is a junction number, because it is equal to n+sod(n) for n = 5105170128195 and 5105170128204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105170128241) 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, 296993566 + ... + 297010754.

It is an arithmetic number, because the mean of its divisors is an integer number (33840646560).

Almost surely, 2^{5105170128240} 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 5105170128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829006899200).

5105170128240 is an abundant number, since it is smaller than the sum of its proper divisors (16552843670160).

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

5105170128240 is a wasteful number, since it uses less digits than its factorization.

5105170128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18742 (or 18730 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 5105170128240 in words is "five trillion, one hundred five billion, one hundred seventy million, one hundred twenty-eight thousand, two hundred forty".