128097557171712 has 720 divisors, whose sum is σ = 401570598809952. Its totient is φ = 39275603066880.

The previous prime is 128097557171669. The next prime is 128097557171713. The reversal of 128097557171712 is 217171755790821.

128097557171712 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 9 + 7 + 557 + 1 + 7 + 1 + 71 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128097557171712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128097557171713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33298037373 + ... + 33298041219.

Almost surely, 2^{128097557171712} is an apocalyptic number.

128097557171712 is a gapful number since it is divisible by the number (12) 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 128097557171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200785299404976).

128097557171712 is an abundant number, since it is smaller than the sum of its proper divisors (273473041638240).

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

128097557171712 is a wasteful number, since it uses less digits than its factorization.

128097557171712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 63.

The spelling of 128097557171712 in words is "one hundred twenty-eight trillion, ninety-seven billion, five hundred fifty-seven million, one hundred seventy-one thousand, seven hundred twelve".