86327584358401 has 8 divisors (see below), whose sum is σ = 91406820042720. Its totient is φ = 81248475617088.

The previous prime is 86327584358371. The next prime is 86327584358447. The reversal of 86327584358401 is 10485348572368.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86327584358401 - 2¹⁷ = 86327584227329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86325584358401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30333871 + ... + 33057508.

It is an arithmetic number, because the mean of its divisors is an integer number (11425852505340).

It is a Proth number, since it is equal to 5145525 ⋅ 2²⁴ + 1 and 5145525 < 2²⁴.

Almost surely, 2^{86327584358401} is an apocalyptic number.

It is an amenable number.

86327584358401 is a deficient number, since it is larger than the sum of its proper divisors (5079235684319).

86327584358401 is a wasteful number, since it uses less digits than its factorization.

86327584358401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63471503.

The product of its (nonzero) digits is 154828800, while the sum is 64.

The spelling of 86327584358401 in words is "eighty-six trillion, three hundred twenty-seven billion, five hundred eighty-four million, three hundred fifty-eight thousand, four hundred one".