81548328960 has 960 divisors, whose sum is σ = 347277772800. Its totient is φ = 17751343104.

The previous prime is 81548328907. The next prime is 81548328989. The reversal of 81548328960 is 6982384518.

81548328960 is a `hidden beast` number, since 8 + 1 + 548 + 3 + 2 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81548328897 and 81548328906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356106126 + ... + 356106354.

It is an arithmetic number, because the mean of its divisors is an integer number (361747680).

Almost surely, 2^81548328960 is an apocalyptic number.

81548328960 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 81548328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173638886400).

81548328960 is an abundant number, since it is smaller than the sum of its proper divisors (265729443840).

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

81548328960 is a wasteful number, since it uses less digits than its factorization.

81548328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 81548328960 in words is "eighty-one billion, five hundred forty-eight million, three hundred twenty-eight thousand, nine hundred sixty".