86506726144800 has 432 divisors, whose sum is σ = 305036855641728. Its totient is φ = 21284789760000.

The previous prime is 86506726144759. The next prime is 86506726144871. The reversal of 86506726144800 is 844162760568.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 966500050 + ... + 966589550.

It is an arithmetic number, because the mean of its divisors is an integer number (706103832504).

Almost surely, 2^{86506726144800} is an apocalyptic number.

86506726144800 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 86506726144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152518427820864).

86506726144800 is an abundant number, since it is smaller than the sum of its proper divisors (218530129496928).

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

86506726144800 is a wasteful number, since it uses less digits than its factorization.

86506726144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91933 (or 91907 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 86506726144800 in words is "eighty-six trillion, five hundred six billion, seven hundred twenty-six million, one hundred forty-four thousand, eight hundred".