128000603078271 has 288 divisors, whose sum is σ = 245259796174848. Its totient is φ = 65965306901760.

The previous prime is 128000603078219. The next prime is 128000603078357. The reversal of 128000603078271 is 172870306000821.

128000603078271 is a `hidden beast` number, since 1 + 280 + 0 + 0 + 6 + 0 + 30 + 78 + 271 = 666.

It is not a de Polignac number, because 128000603078271 - 2¹⁰ = 128000603077247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128000603078071) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8557898725 + ... + 8557913681.

It is an arithmetic number, because the mean of its divisors is an integer number (851596514496).

Almost surely, 2^{128000603078271} is an apocalyptic number.

128000603078271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128000603078271 is a deficient number, since it is larger than the sum of its proper divisors (117259193096577).

128000603078271 is a wasteful number, since it uses less digits than its factorization.

128000603078271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513 (or 15494 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 128000603078271 in words is "one hundred twenty-eight trillion, six hundred three million, seventy-eight thousand, two hundred seventy-one".