86841448075872 has 1728 divisors, whose sum is σ = 314100767844864. Its totient is φ = 23509607546880.

The previous prime is 86841448075841. The next prime is 86841448075873. The reversal of 86841448075872 is 27857084414868.

86841448075872 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 1 + 4 + 480 + 75 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86841448075872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86841448075873) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 84230307997 + ... + 84230309027.

It is an arithmetic number, because the mean of its divisors is an integer number (181771277688).

Almost surely, 2^{86841448075872} 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 86841448075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157050383922432).

86841448075872 is an abundant number, since it is smaller than the sum of its proper divisors (227259319768992).

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

86841448075872 is a wasteful number, since it uses less digits than its factorization.

86841448075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 86841448075872 in words is "eighty-six trillion, eight hundred forty-one billion, four hundred forty-eight million, seventy-five thousand, eight hundred seventy-two".