86084144458560 has 672 divisors, whose sum is σ = 315211098369024. Its totient is φ = 21524963328000.

The previous prime is 86084144458423. The next prime is 86084144458601. The reversal of 86084144458560 is 6585444148068.

It is a happy number.

86084144458560 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 4 + 1 + 4 + 44 + 585 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796055695 + ... + 796163825.

Almost surely, 2^{86084144458560} is an apocalyptic number.

86084144458560 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 86084144458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157605549184512).

86084144458560 is an abundant number, since it is smaller than the sum of its proper divisors (229126953910464).

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

86084144458560 is a wasteful number, since it uses less digits than its factorization.

86084144458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108463 (or 108450 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 86084144458560 in words is "eighty-six trillion, eighty-four billion, one hundred forty-four million, four hundred fifty-eight thousand, five hundred sixty".