86788688768 has 32 divisors (see below), whose sum is σ = 172928176560. Its totient is φ = 43387107328.

The previous prime is 86788688759. The next prime is 86788688783.

86788688768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 86788688692 and 86788688701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 759821 + ... + 866547.

Almost surely, 2^86788688768 is an apocalyptic number.

It is an amenable number.

86788688768 is a deficient number, since it is larger than the sum of its proper divisors (86139487792).

86788688768 is a wasteful number, since it uses less digits than its factorization.

86788688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113094 (or 113082 counting only the distinct ones).

The product of its digits is 2774532096, while the sum is 80.

The spelling of 86788688768 in words is "eighty-six billion, seven hundred eighty-eight million, six hundred eighty-eight thousand, seven hundred sixty-eight".