86444420160 has 336 divisors, whose sum is σ = 327906546624. Its totient is φ = 19224317952.

The previous prime is 86444420159. The next prime is 86444420221. The reversal of 86444420160 is 6102444468.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×86444420160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715647 + ... + 1765313.

Almost surely, 2^86444420160 is an apocalyptic number.

86444420160 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 86444420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163953273312).

86444420160 is an abundant number, since it is smaller than the sum of its proper divisors (241462126464).

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

86444420160 is a wasteful number, since it uses less digits than its factorization.

86444420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49738 (or 49721 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 86444420160 in words is "eighty-six billion, four hundred forty-four million, four hundred twenty thousand, one hundred sixty".