86733355333768 has 64 divisors (see below), whose sum is σ = 191057604091200. Its totient is φ = 36391310657280.

The previous prime is 86733355333759. The next prime is 86733355333771.

86733355333768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86733355333697 and 86733355333706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179583055 + ... + 180065377.

It is an arithmetic number, because the mean of its divisors is an integer number (2985275063925).

Almost surely, 2^{86733355333768} is an apocalyptic number.

86733355333768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86733355333768 is an abundant number, since it is smaller than the sum of its proper divisors (104324248757432).

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

86733355333768 is a wasteful number, since it uses less digits than its factorization.

86733355333768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639542 (or 639538 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 70.

The spelling of 86733355333768 in words is "eighty-six trillion, seven hundred thirty-three billion, three hundred fifty-five million, three hundred thirty-three thousand, seven hundred sixty-eight".