5168102035716 has 81 divisors (see below), whose sum is σ = 13566545366101. Its totient is φ = 1722577917888.

The previous prime is 5168102035703. The next prime is 5168102035729. The reversal of 5168102035716 is 6175302018615.

The square root of 5168102035716 is 2273346.

It is a perfect power (a square), and thus also a powerful number.

5168102035716 is a `hidden beast` number, since 5 + 1 + 68 + 10 + 2 + 0 + 3 + 571 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5168102035703) and next prime (5168102035729).

It can be written as a sum of positive squares in only one way, i.e., 600888528900 + 4567213506816 = 775170^2 + 2137104^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-3 number, since 3×5168102035716³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 368275036 + ... + 368289068.

Almost surely, 2^{5168102035716} is an apocalyptic number.

5168102035716 is the 2273346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5168102035716

5168102035716 is an abundant number, since it is smaller than the sum of its proper divisors (8398443330385).

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

5168102035716 is an frugal number, since it uses more digits than its factorization.

5168102035716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28094 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5168102035716 in words is "five trillion, one hundred sixty-eight billion, one hundred two million, thirty-five thousand, seven hundred sixteen".