81059649454080 has 3072 divisors, whose sum is σ = 340675634073600. Its totient is φ = 18121941319680.

The previous prime is 81059649454067. The next prime is 81059649454159. The reversal of 81059649454080 is 8045494695018.

81059649454080 is a `hidden beast` number, since 8 + 1 + 0 + 5 + 9 + 6 + 4 + 9 + 4 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a junction number, because it is equal to n+sod(n) for n = 81059649453999 and 81059649454017.

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 191 ways as a sum of consecutive naturals, for example, 1209845514207 + ... + 1209845514273.

It is an arithmetic number, because the mean of its divisors is an integer number (110897016300).

Almost surely, 2^{81059649454080} is an apocalyptic number.

81059649454080 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 81059649454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170337817036800).

81059649454080 is an abundant number, since it is smaller than the sum of its proper divisors (259615984619520).

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

81059649454080 is a wasteful number, since it uses less digits than its factorization.

81059649454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 81059649454080 in words is "eighty-one trillion, fifty-nine billion, six hundred forty-nine million, four hundred fifty-four thousand, eighty".