86404614428160 has 960 divisors, whose sum is σ = 354030657552000. Its totient is φ = 19055387344896.

The previous prime is 86404614428117. The next prime is 86404614428339. The reversal of 86404614428160 is 6182441640468.

86404614428160 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 4 + 61 + 442 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 86404614428097 and 86404614428106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7749982266 + ... + 7749993414.

It is an arithmetic number, because the mean of its divisors is an integer number (368781934950).

Almost surely, 2^{86404614428160} is an apocalyptic number.

86404614428160 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 86404614428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177015328776000).

86404614428160 is an abundant number, since it is smaller than the sum of its proper divisors (267626043123840).

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

86404614428160 is a wasteful number, since it uses less digits than its factorization.

86404614428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 86404614428160 in words is "eighty-six trillion, four hundred four billion, six hundred fourteen million, four hundred twenty-eight thousand, one hundred sixty".