5165752714560 has 84 divisors (see below), whose sum is σ = 17768036951028. Its totient is φ = 1377534056448.

The previous prime is 5165752714559. The next prime is 5165752714583. The reversal of 5165752714560 is 654172575615.

5165752714560 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 7 + 5 + 2 + 71 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2435247638784 + 2730505075776 = 1560528^2 + 1652424^2 .

It is a super-2 number, since 2×5165752714560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5165752714497 and 5165752714506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896829189 + ... + 896834948.

It is an arithmetic number, because the mean of its divisors is an integer number (211524249417).

Almost surely, 2^{5165752714560} is an apocalyptic number.

It is an amenable number.

5165752714560 is an abundant number, since it is smaller than the sum of its proper divisors (12602284236468).

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

5165752714560 is a wasteful number, since it uses less digits than its factorization.

5165752714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793664160 (or 1793664147 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5165752714560 in words is "five trillion, one hundred sixty-five billion, seven hundred fifty-two million, seven hundred fourteen thousand, five hundred sixty".