86167217919552 has 448 divisors, whose sum is σ = 299239823769600. Its totient is φ = 21200314705920.

The previous prime is 86167217919551. The next prime is 86167217919623. The reversal of 86167217919552 is 25591971276168.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (86167217919551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2776079649 + ... + 2776110687.

It is an arithmetic number, because the mean of its divisors is an integer number (667946035200).

Almost surely, 2^{86167217919552} 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 86167217919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149619911884800).

86167217919552 is an abundant number, since it is smaller than the sum of its proper divisors (213072605850048).

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

86167217919552 is a wasteful number, since it uses less digits than its factorization.

86167217919552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40974 (or 40964 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 69.

The spelling of 86167217919552 in words is "eighty-six trillion, one hundred sixty-seven billion, two hundred seventeen million, nine hundred nineteen thousand, five hundred fifty-two".