86524824321 has 48 divisors (see below), whose sum is σ = 138903851520. Its totient is φ = 53207668800.

The previous prime is 86524824317. The next prime is 86524824343. The reversal of 86524824321 is 12342842568.

86524824321 is a `hidden beast` number, since 8 + 6 + 524 + 82 + 43 + 2 + 1 = 666.

It is not a de Polignac number, because 86524824321 - 2² = 86524824317 is a prime.

It is a super-2 number, since 2×86524824321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86524824361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7144171 + ... + 7156271.

It is an arithmetic number, because the mean of its divisors is an integer number (2893830240).

Almost surely, 2^86524824321 is an apocalyptic number.

It is an amenable number.

86524824321 is a deficient number, since it is larger than the sum of its proper divisors (52379027199).

86524824321 is a wasteful number, since it uses less digits than its factorization.

86524824321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13703 (or 13684 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 86524824321 in words is "eighty-six billion, five hundred twenty-four million, eight hundred twenty-four thousand, three hundred twenty-one".