5167355760 has 360 divisors, whose sum is σ = 20343117600. Its totient is φ = 1171989504.

The previous prime is 5167355723. The next prime is 5167355797. The reversal of 5167355760 is 675537615.

5167355760 is a `hidden beast` number, since 5 + 1 + 6 + 73 + 5 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5167355723) and next prime (5167355797).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5256229 + ... + 5257211.

It is an arithmetic number, because the mean of its divisors is an integer number (56508660).

Almost surely, 2^5167355760 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 5167355760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171558800).

5167355760 is an abundant number, since it is smaller than the sum of its proper divisors (15175761840).

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

5167355760 is a wasteful number, since it uses less digits than its factorization.

5167355760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 5167355760 is about 71884.3220737318. The cubic root of 5167355760 is about 1728.8452494169.

The spelling of 5167355760 in words is "five billion, one hundred sixty-seven million, three hundred fifty-five thousand, seven hundred sixty".