86530105600 has 81 divisors (see below), whose sum is σ = 214233794887. Its totient is φ = 34602629120.

The previous prime is 86530105579. The next prime is 86530105609. The reversal of 86530105600 is 650103568.

The square root of 86530105600 is 294160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2699010304 + 83831095296 = 51952^2 + 289536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86530105609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23530962 + ... + 23534638.

Almost surely, 2^86530105600 is an apocalyptic number.

86530105600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86530105600 is the 294160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86530105600

86530105600 is an abundant number, since it is smaller than the sum of its proper divisors (127703689287).

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

86530105600 is an frugal number, since it uses more digits than its factorization.

86530105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 86530105600 in words is "eighty-six billion, five hundred thirty million, one hundred five thousand, six hundred".