86826806304 has 96 divisors (see below), whose sum is σ = 260526873600. Its totient is φ = 24803235072.

The previous prime is 86826806257. The next prime is 86826806323. The reversal of 86826806304 is 40360862868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6473397 + ... + 6486795.

It is an arithmetic number, because the mean of its divisors is an integer number (2713821600).

Almost surely, 2^86826806304 is an apocalyptic number.

86826806304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86826806304 is an abundant number, since it is smaller than the sum of its proper divisors (173700067296).

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

86826806304 is a wasteful number, since it uses less digits than its factorization.

86826806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062 (or 23054 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 86826806304 in words is "eighty-six billion, eight hundred twenty-six million, eight hundred six thousand, three hundred four".