86958456093 has 16 divisors (see below), whose sum is σ = 135607729600. Its totient is φ = 54921129840.

The previous prime is 86958456061. The next prime is 86958456103. The reversal of 86958456093 is 39065485968.

86958456093 is a `hidden beast` number, since 8 + 6 + 95 + 8 + 456 + 0 + 93 = 666.

It is not a de Polignac number, because 86958456093 - 2⁵ = 86958456061 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 86958456093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86958446093) 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, 84754318 + ... + 84755343.

It is an arithmetic number, because the mean of its divisors is an integer number (8475483100).

Almost surely, 2^86958456093 is an apocalyptic number.

It is an amenable number.

86958456093 is a deficient number, since it is larger than the sum of its proper divisors (48649273507).

86958456093 is a wasteful number, since it uses less digits than its factorization.

86958456093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169509689 (or 169509683 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 86958456093 in words is "eighty-six billion, nine hundred fifty-eight million, four hundred fifty-six thousand, ninety-three".