81067391107584 has 960 divisors, whose sum is σ = 285968936816640. Its totient is φ = 20212590182400.

The previous prime is 81067391107583. The next prime is 81067391107627. The reversal of 81067391107584 is 48570119376018.

It is not an unprimeable number, because it can be changed into a prime (81067391107583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1142547309 + ... + 1142618259.

It is an arithmetic number, because the mean of its divisors is an integer number (297884309184).

Almost surely, 2^{81067391107584} is an apocalyptic number.

81067391107584 is a gapful number since it is divisible by the number (84) 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 81067391107584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142984468408320).

81067391107584 is an abundant number, since it is smaller than the sum of its proper divisors (204901545709056).

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

81067391107584 is a wasteful number, since it uses less digits than its factorization.

81067391107584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71069 (or 71046 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 81067391107584 in words is "eighty-one trillion, sixty-seven billion, three hundred ninety-one million, one hundred seven thousand, five hundred eighty-four".