86116175861760 has 960 divisors, whose sum is σ = 345829807683360. Its totient is φ = 20312335319040.

The previous prime is 86116175861731. The next prime is 86116175861809. The reversal of 86116175861760 is 6716857161168.

86116175861760 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 6 + 1 + 7 + 5 + 8 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 337454532 + ... + 337709628.

Almost surely, 2^{86116175861760} is an apocalyptic number.

86116175861760 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 86116175861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172914903841680).

86116175861760 is an abundant number, since it is smaller than the sum of its proper divisors (259713631821600).

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

86116175861760 is a wasteful number, since it uses less digits than its factorization.

86116175861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255184 (or 255155 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 86116175861760 in words is "eighty-six trillion, one hundred sixteen billion, one hundred seventy-five million, eight hundred sixty-one thousand, seven hundred sixty".