128110517568000 has 2240 divisors, whose sum is σ = 527073478424064. Its totient is φ = 31042040832000.

The previous prime is 128110517567999. The next prime is 128110517568017. The reversal of 128110517568000 is 865715011821.

128110517568000 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 0 + 517 + 56 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 62099134969 + ... + 62099137031.

Almost surely, 2^{128110517568000} is an apocalyptic number.

128110517568000 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 128110517568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263536739212032).

128110517568000 is an abundant number, since it is smaller than the sum of its proper divisors (398962960856064).

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

128110517568000 is an frugal number, since it uses more digits than its factorization.

128110517568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 128110517568000 in words is "one hundred twenty-eight trillion, one hundred ten billion, five hundred seventeen million, five hundred sixty-eight thousand".