86128833087664 has 80 divisors (see below), whose sum is σ = 168130186993216. Its totient is φ = 42741057715200.

The previous prime is 86128833087613. The next prime is 86128833087667. The reversal of 86128833087664 is 46678033882168.

It is a junction number, because it is equal to n+sod(n) for n = 86128833087593 and 86128833087602.

It is not an unprimeable number, because it can be changed into a prime (86128833087667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11126314834 + ... + 11126322574.

Almost surely, 2^{86128833087664} is an apocalyptic number.

It is an amenable number.

86128833087664 is a deficient number, since it is larger than the sum of its proper divisors (82001353905552).

86128833087664 is a wasteful number, since it uses less digits than its factorization.

86128833087664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 70.

The spelling of 86128833087664 in words is "eighty-six trillion, one hundred twenty-eight billion, eight hundred thirty-three million, eighty-seven thousand, six hundred sixty-four".