86298824160 has 144 divisors (see below), whose sum is σ = 294924324240. Its totient is φ = 22979450880.

The previous prime is 86298824159. The next prime is 86298824179. The reversal of 86298824160 is 6142889268.

86298824160 is a `hidden beast` number, since 8 + 62 + 98 + 82 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 86298824097 and 86298824106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951676 + ... + 1038404.

It is an arithmetic number, because the mean of its divisors is an integer number (2048085585).

Almost surely, 2^86298824160 is an apocalyptic number.

86298824160 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 86298824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147462162120).

86298824160 is an abundant number, since it is smaller than the sum of its proper divisors (208625500080).

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

86298824160 is a wasteful number, since it uses less digits than its factorization.

86298824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87441 (or 87430 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 86298824160 in words is "eighty-six billion, two hundred ninety-eight million, eight hundred twenty-four thousand, one hundred sixty".