86528238551667 has 24 divisors (see below), whose sum is σ = 136465782171888. Its totient is φ = 52395874099200.

The previous prime is 86528238551591. The next prime is 86528238551707. The reversal of 86528238551667 is 76615583282568.

86528238551667 is a `hidden beast` number, since 8 + 6 + 5 + 2 + 8 + 2 + 3 + 8 + 551 + 6 + 67 = 666.

It is not a de Polignac number, because 86528238551667 - 2³⁸ = 86253360644723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86528238551595 and 86528238551604.

It is not an unprimeable number, because it can be changed into a prime (86528231551667) 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 23 ways as a sum of consecutive naturals, for example, 378906934 + ... + 379135227.

It is an arithmetic number, because the mean of its divisors is an integer number (5686074257162).

Almost surely, 2^{86528238551667} is an apocalyptic number.

86528238551667 is a deficient number, since it is larger than the sum of its proper divisors (49937543620221).

86528238551667 is a wasteful number, since it uses less digits than its factorization.

86528238551667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758043331 (or 758043328 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 86528238551667 in words is "eighty-six trillion, five hundred twenty-eight billion, two hundred thirty-eight million, five hundred fifty-one thousand, six hundred sixty-seven".