86712129728 has 112 divisors (see below), whose sum is σ = 198925062144. Its totient is φ = 36735068160.

The previous prime is 86712129677. The next prime is 86712129733. The reversal of 86712129728 is 82792121768.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86712129728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13944476 + ... + 13950692.

Almost surely, 2^86712129728 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 86712129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99462531072).

86712129728 is an abundant number, since it is smaller than the sum of its proper divisors (112212932416).

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

86712129728 is a wasteful number, since it uses less digits than its factorization.

86712129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6580 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 53.

The spelling of 86712129728 in words is "eighty-six billion, seven hundred twelve million, one hundred twenty-nine thousand, seven hundred twenty-eight".