5167318305960 has 320 divisors, whose sum is σ = 17784460742400. Its totient is φ = 1345060007424.

The previous prime is 5167318305949. The next prime is 5167318305971. The reversal of 5167318305960 is 695038137615.

5167318305960 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 3 + 18 + 30 + 596 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5167318305949) and next prime (5167318305971).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5167318305897 and 5167318305906.

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, 57669354 + ... + 57758886.

It is an arithmetic number, because the mean of its divisors is an integer number (55576439820).

Almost surely, 2^{5167318305960} 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 5167318305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892230371200).

5167318305960 is an abundant number, since it is smaller than the sum of its proper divisors (12617142436440).

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

5167318305960 is a wasteful number, since it uses less digits than its factorization.

5167318305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89982 (or 89969 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5167318305960 in words is "five trillion, one hundred sixty-seven billion, three hundred eighteen million, three hundred five thousand, nine hundred sixty".