167260709160 has 256 divisors, whose sum is σ = 563291193600. Its totient is φ = 44144787456.

The previous prime is 167260709137. The next prime is 167260709167. The reversal of 167260709160 is 61907062761.

It is a happy number.

167260709160 is a `hidden beast` number, since 167 + 260 + 70 + 9 + 160 = 666.

167260709160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167260709160² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (167260709167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 45240432 + ... + 45244128.

It is an arithmetic number, because the mean of its divisors is an integer number (2200356225).

Almost surely, 2^167260709160 is an apocalyptic number.

167260709160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167260709160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281645596800).

167260709160 is an abundant number, since it is smaller than the sum of its proper divisors (396030484440).

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

167260709160 is a wasteful number, since it uses less digits than its factorization.

167260709160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 167260709160 in words is "one hundred sixty-seven billion, two hundred sixty million, seven hundred nine thousand, one hundred sixty".