5166567167120 has 40 divisors (see below), whose sum is σ = 12012449275320. Its totient is φ = 2066595793920.

The previous prime is 5166567167059. The next prime is 5166567167123. The reversal of 5166567167120 is 217617656615.

It can be written as a sum of positive squares in 4 ways, for example, as 70730466304 + 5095836700816 = 265952^2 + 2257396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5166567167123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5296076 + ... + 6195284.

It is an arithmetic number, because the mean of its divisors is an integer number (300311231883).

Almost surely, 2^{5166567167120} is an apocalyptic number.

It is an amenable number.

5166567167120 is an abundant number, since it is smaller than the sum of its proper divisors (6845882108200).

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

5166567167120 is a wasteful number, since it uses less digits than its factorization.

5166567167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971043 (or 971037 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 5166567167120 in words is "five trillion, one hundred sixty-six billion, five hundred sixty-seven million, one hundred sixty-seven thousand, one hundred twenty".