86195517953661 has 24 divisors (see below), whose sum is σ = 124674467101184. Its totient is φ = 57385334714400.

The previous prime is 86195517953621. The next prime is 86195517953693. The reversal of 86195517953661 is 16635971559168.

86195517953661 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 551 + 7 + 9 + 5 + 3 + 6 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-86195517953661 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 86195517953661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86195517953621) 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, 24800436 + ... + 28061586.

Almost surely, 2^{86195517953661} is an apocalyptic number.

It is an amenable number.

86195517953661 is a deficient number, since it is larger than the sum of its proper divisors (38478949147523).

86195517953661 is a wasteful number, since it uses less digits than its factorization.

86195517953661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265161 (or 3265158 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 72.

The spelling of 86195517953661 in words is "eighty-six trillion, one hundred ninety-five billion, five hundred seventeen million, nine hundred fifty-three thousand, six hundred sixty-one".