128485685288880 has 240 divisors, whose sum is σ = 437592649777920. Its totient is φ = 33778926451200.

The previous prime is 128485685288827. The next prime is 128485685288887. The reversal of 128485685288880 is 88882586584821.

128485685288880 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 8 + 5 + 6 + 8 + 528 + 8 + 8 + 80 = 666.

128485685288880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×128485685288880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128485685288880.

It is not an unprimeable number, because it can be changed into a prime (128485685288887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546313091 + ... + 2546363549.

It is an arithmetic number, because the mean of its divisors is an integer number (1823302707408).

Almost surely, 2^{128485685288880} is an apocalyptic number.

128485685288880 is a gapful number since it is divisible by the number (10) 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 128485685288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218796324888960).

128485685288880 is an abundant number, since it is smaller than the sum of its proper divisors (309106964489040).

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

128485685288880 is a wasteful number, since it uses less digits than its factorization.

128485685288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100360 (or 100351 counting only the distinct ones).

The product of its (nonzero) digits is 5033164800, while the sum is 81.

The spelling of 128485685288880 in words is "one hundred twenty-eight trillion, four hundred eighty-five billion, six hundred eighty-five million, two hundred eighty-eight thousand, eight hundred eighty".