128673499968000 has 5760 divisors, whose sum is σ = 572606922311424. Its totient is φ = 28593782784000.

The previous prime is 128673499967941. The next prime is 128673499968023. The reversal of 128673499968000 is 869994376821.

128673499968000 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 73 + 499 + 9 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 128673499968000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2992406975979 + ... + 2992406976021.

Almost surely, 2^{128673499968000} is an apocalyptic number.

128673499968000 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 128673499968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286303461155712).

128673499968000 is an abundant number, since it is smaller than the sum of its proper divisors (443933422343424).

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

128673499968000 is an equidigital number, since it uses as much as digits as its factorization.

128673499968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 128673499968000 in words is "one hundred twenty-eight trillion, six hundred seventy-three billion, four hundred ninety-nine million, nine hundred sixty-eight thousand".