86459125671360 has 896 divisors, whose sum is σ = 332594017056000. Its totient is φ = 21015721672704.

The previous prime is 86459125671353. The next prime is 86459125671377. The reversal of 86459125671360 is 6317652195468.

It is a happy number.

86459125671360 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 9 + 1 + 2 + 567 + 1 + 3 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8287076704 + ... + 8287087136.

It is an arithmetic number, because the mean of its divisors is an integer number (371198679750).

It is a 1-persistent number, because it is pandigital, but 2⋅86459125671360 = 172918251342720 is not.

Almost surely, 2^{86459125671360} is an apocalyptic number.

86459125671360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86459125671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166297008528000).

86459125671360 is an abundant number, since it is smaller than the sum of its proper divisors (246134891384640).

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

86459125671360 is a wasteful number, since it uses less digits than its factorization.

86459125671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 86459125671360 in words is "eighty-six trillion, four hundred fifty-nine billion, one hundred twenty-five million, six hundred seventy-one thousand, three hundred sixty".