86543597195328 has 224 divisors, whose sum is σ = 282268120207360. Its totient is φ = 22788509829120.

The previous prime is 86543597195261. The next prime is 86543597195333. The reversal of 86543597195328 is 82359179534568.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 86543597195328.

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 31 ways as a sum of consecutive naturals, for example, 7099893 + ... + 14949771.

It is an arithmetic number, because the mean of its divisors is an integer number (1260125536640).

Almost surely, 2^{86543597195328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86543597195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134060103680).

86543597195328 is an abundant number, since it is smaller than the sum of its proper divisors (195724523012032).

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

86543597195328 is a wasteful number, since it uses less digits than its factorization.

86543597195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850545 (or 7850535 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 75.

The spelling of 86543597195328 in words is "eighty-six trillion, five hundred forty-three billion, five hundred ninety-seven million, one hundred ninety-five thousand, three hundred twenty-eight".