86195672160 has 384 divisors, whose sum is σ = 307582894080. Its totient is φ = 20130840576.

The previous prime is 86195672093. The next prime is 86195672177. The reversal of 86195672160 is 6127659168.

It is a super-2 number, since 2×86195672160² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18224676 + ... + 18229404.

It is an arithmetic number, because the mean of its divisors is an integer number (800997120).

Almost surely, 2^86195672160 is an apocalyptic number.

86195672160 is a gapful number since it is divisible by the number (80) 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 86195672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153791447040).

86195672160 is an abundant number, since it is smaller than the sum of its proper divisors (221387221920).

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

86195672160 is a wasteful number, since it uses less digits than its factorization.

86195672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 86195672160 in words is "eighty-six billion, one hundred ninety-five million, six hundred seventy-two thousand, one hundred sixty".