86436000000 has 945 divisors, whose sum is σ = 363414156833. Its totient is φ = 19756800000.

The previous prime is 86435999977. The next prime is 86436000019. The reversal of 86436000000 is 63468.

The square root of 86436000000 is 294000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 75726233856 + 10709766144 = 275184^2 + 103488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 12347999997 + ... + 12348000003.

Almost surely, 2^86436000000 is an apocalyptic number.

86436000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86436000000 is the 294000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86436000000

86436000000 is an abundant number, since it is smaller than the sum of its proper divisors (276978156833).

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

86436000000 is an frugal number, since it uses more digits than its factorization.

86436000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 86436000000 its reverse (63468), we get a palindrome (86436063468).

The spelling of 86436000000 in words is "eighty-six billion, four hundred thirty-six million", and thus it is an aban number.