86795259768 has 288 divisors, whose sum is σ = 283979358000. Its totient is φ = 23850408960.

The previous prime is 86795259709. The next prime is 86795259787.

86795259768 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 525 + 97 + 6 + 8 = 666.

86795259768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86795259696 and 86795259705.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 28748163 + ... + 28751181.

Almost surely, 2^86795259768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86795259768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141989679000).

86795259768 is an abundant number, since it is smaller than the sum of its proper divisors (197184098232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86795259768 is a wasteful number, since it uses less digits than its factorization.

86795259768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 86795259768 in words is "eighty-six billion, seven hundred ninety-five million, two hundred fifty-nine thousand, seven hundred sixty-eight".