86012173728 has 480 divisors, whose sum is σ = 294586871040. Its totient is φ = 24388024320.

The previous prime is 86012173717. The next prime is 86012173787. The reversal of 86012173728 is 82737121068.

86012173728 is a `hidden beast` number, since 8 + 60 + 1 + 217 + 372 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23686473 + ... + 23690103.

It is an arithmetic number, because the mean of its divisors is an integer number (613722648).

Almost surely, 2^86012173728 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 86012173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147293435520).

86012173728 is an abundant number, since it is smaller than the sum of its proper divisors (208574697312).

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

86012173728 is a wasteful number, since it uses less digits than its factorization.

86012173728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 86012173728 in words is "eighty-six billion, twelve million, one hundred seventy-three thousand, seven hundred twenty-eight".