5167699272288 has 480 divisors, whose sum is σ = 18262941903360. Its totient is φ = 1401494814720.

The previous prime is 5167699272259. The next prime is 5167699272317. The reversal of 5167699272288 is 8822729967615.

5167699272288 is a `hidden beast` number, since 5 + 1 + 6 + 76 + 9 + 9 + 272 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (5167699272259) and next prime (5167699272317).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54620608 + ... + 54715136.

It is an arithmetic number, because the mean of its divisors is an integer number (38047795632).

Almost surely, 2^{5167699272288} 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 5167699272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131470951680).

5167699272288 is an abundant number, since it is smaller than the sum of its proper divisors (13095242631072).

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

5167699272288 is a wasteful number, since it uses less digits than its factorization.

5167699272288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94712 (or 94695 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 5167699272288 in words is "five trillion, one hundred sixty-seven billion, six hundred ninety-nine million, two hundred seventy-two thousand, two hundred eighty-eight".