86435165807387 has 32 divisors (see below), whose sum is σ = 90454512046080. Its totient is φ = 82501598736000.

The previous prime is 86435165807369. The next prime is 86435165807429. The reversal of 86435165807387 is 78370856153468.

It is a cyclic number.

It is not a de Polignac number, because 86435165807387 - 2⁸ = 86435165807131 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86435165807387.

It is not an unprimeable number, because it can be changed into a prime (86435165807087) 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 31 ways as a sum of consecutive naturals, for example, 766613837 + ... + 766726577.

It is an arithmetic number, because the mean of its divisors is an integer number (2826703501440).

Almost surely, 2^{86435165807387} is an apocalyptic number.

86435165807387 is a deficient number, since it is larger than the sum of its proper divisors (4019346238693).

86435165807387 is a wasteful number, since it uses less digits than its factorization.

86435165807387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114075.

The product of its (nonzero) digits is 812851200, while the sum is 71.

The spelling of 86435165807387 in words is "eighty-six trillion, four hundred thirty-five billion, one hundred sixty-five million, eight hundred seven thousand, three hundred eighty-seven".