86408084672 has 112 divisors (see below), whose sum is σ = 214612849920. Its totient is φ = 33603904512.

The previous prime is 86408084671. The next prime is 86408084677. The reversal of 86408084672 is 27648080468.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (86408084671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217883 + ... + 469349.

It is an arithmetic number, because the mean of its divisors is an integer number (1916186160).

Almost surely, 2^86408084672 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 86408084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107306424960).

86408084672 is an abundant number, since it is smaller than the sum of its proper divisors (128204765248).

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

86408084672 is a wasteful number, since it uses less digits than its factorization.

86408084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251558 (or 251548 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 53.

The spelling of 86408084672 in words is "eighty-six billion, four hundred eight million, eighty-four thousand, six hundred seventy-two".