86084259417 has 24 divisors (see below), whose sum is σ = 133921338824. Its totient is φ = 52969987584.

The previous prime is 86084259407. The next prime is 86084259419. The reversal of 86084259417 is 71495248068.

It is a happy number.

86084259417 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 42 + 594 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9696143961 + 76388115456 = 98469^2 + 276384^2 .

It is not a de Polignac number, because 86084259417 - 2⁸ = 86084259161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86084259419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528083 + ... + 1583415.

Almost surely, 2^86084259417 is an apocalyptic number.

It is an amenable number.

86084259417 is a deficient number, since it is larger than the sum of its proper divisors (47837079407).

86084259417 is a wasteful number, since it uses less digits than its factorization.

86084259417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68649 (or 68646 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86084259417 in words is "eighty-six billion, eighty-four million, two hundred fifty-nine thousand, four hundred seventeen".