86091144988800 has 384 divisors, whose sum is σ = 332830370528640. Its totient is φ = 19146138255360.

The previous prime is 86091144988799. The next prime is 86091144988811. The reversal of 86091144988800 is 888944119068.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 14826009 + ... + 19798808.

It is an arithmetic number, because the mean of its divisors is an integer number (866745756585).

Almost surely, 2^{86091144988800} is an apocalyptic number.

86091144988800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86091144988800 is an abundant number, since it is smaller than the sum of its proper divisors (246739225539840).

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

86091144988800 is a wasteful number, since it uses less digits than its factorization.

86091144988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34624888 (or 34624871 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 86091144988800 in words is "eighty-six trillion, ninety-one billion, one hundred forty-four million, nine hundred eighty-eight thousand, eight hundred".