86848030720000 has 900 divisors, whose sum is σ = 246897622111140. Its totient is φ = 30479482880000.

The previous prime is 86848030719941. The next prime is 86848030720051. The reversal of 86848030720000 is 2703084868.

It can be written as a sum of positive squares in 10 ways, for example, as 39984476995584 + 46863553724416 = 6323328^2 + 6845696^2 .

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 35932158792 + ... + 35932161208.

Almost surely, 2^{86848030720000} is an apocalyptic number.

86848030720000 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 86848030720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123448811055570).

86848030720000 is an abundant number, since it is smaller than the sum of its proper divisors (160049591391140).

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

86848030720000 is an equidigital number, since it uses as much as digits as its factorization.

86848030720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 86848030720000 in words is "eighty-six trillion, eight hundred forty-eight billion, thirty million, seven hundred twenty thousand".