86541828683201 has 8 divisors (see below), whose sum is σ = 86774928202560. Its totient is φ = 86308783661808.

The previous prime is 86541828683197. The next prime is 86541828683209. The reversal of 86541828683201 is 10238682814568.

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 86541828683201 - 2² = 86541828683197 is a prime.

It is a super-2 number, since 2×86541828683201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86541828683209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10443251 + ... + 16797176.

It is an arithmetic number, because the mean of its divisors is an integer number (10846866025320).

Almost surely, 2^{86541828683201} is an apocalyptic number.

It is an amenable number.

86541828683201 is a deficient number, since it is larger than the sum of its proper divisors (233099519359).

86541828683201 is a wasteful number, since it uses less digits than its factorization.

86541828683201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27248983.

The product of its (nonzero) digits is 35389440, while the sum is 62.

The spelling of 86541828683201 in words is "eighty-six trillion, five hundred forty-one billion, eight hundred twenty-eight million, six hundred eighty-three thousand, two hundred one".