128702171065104 has 1920 divisors, whose sum is σ = 494051578675200. Its totient is φ = 30981823488000.

The previous prime is 128702171065093. The next prime is 128702171065133. The reversal of 128702171065104 is 401560171207821.

128702171065104 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 0 + 21 + 7 + 106 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128702171065104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33420452779 + ... + 33420456629.

It is an arithmetic number, because the mean of its divisors is an integer number (257318530560).

Almost surely, 2^{128702171065104} is an apocalyptic number.

128702171065104 is a gapful number since it is divisible by the number (14) 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 128702171065104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247025789337600).

128702171065104 is an abundant number, since it is smaller than the sum of its proper divisors (365349407610096).

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

128702171065104 is a wasteful number, since it uses less digits than its factorization.

128702171065104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 128702171065104 in words is "one hundred twenty-eight trillion, seven hundred two billion, one hundred seventy-one million, sixty-five thousand, one hundred four".