128728326216960 has 216 divisors, whose sum is σ = 459753910447104. Its totient is φ = 33220213125120.

The previous prime is 128728326216913. The next prime is 128728326217033. The reversal of 128728326216960 is 69612623827821.

128728326216960 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 2 + 8 + 326 + 216 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 179874072 + ... + 180588311.

It is an arithmetic number, because the mean of its divisors is an integer number (2128490326144).

Almost surely, 2^{128728326216960} is an apocalyptic number.

128728326216960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128728326216960 is an abundant number, since it is smaller than the sum of its proper divisors (331025584230144).

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

128728326216960 is a wasteful number, since it uses less digits than its factorization.

128728326216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360462441 (or 360462424 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 128728326216960 in words is "one hundred twenty-eight trillion, seven hundred twenty-eight billion, three hundred twenty-six million, two hundred sixteen thousand, nine hundred sixty".