86175257168 has 480 divisors, whose sum is σ = 237389806080. Its totient is φ = 29449728000.

The previous prime is 86175257167. The next prime is 86175257191.

86175257168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86175257167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516019421 + ... + 516019587.

It is an arithmetic number, because the mean of its divisors is an integer number (494562096).

Almost surely, 2^86175257168 is an apocalyptic number.

86175257168 is a gapful number since it is divisible by the number (88) 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 86175257168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118694903040).

86175257168 is an abundant number, since it is smaller than the sum of its proper divisors (151214548912).

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

86175257168 is a wasteful number, since it uses less digits than its factorization.

86175257168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 56.

It can be divided in two parts, 86175 and 257168, that added together give a palindrome (343343).

The spelling of 86175257168 in words is "eighty-six billion, one hundred seventy-five million, two hundred fifty-seven thousand, one hundred sixty-eight".