128777805936000 has 1920 divisors, whose sum is σ = 528060786533280. Its totient is φ = 30919200768000.

The previous prime is 128777805935963. The next prime is 128777805936001. The reversal of 128777805936000 is 639508777821.

128777805936000 is a `hidden beast` number, since 1 + 2 + 87 + 77 + 80 + 59 + 360 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128777805936001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28321485727 + ... + 28321490273.

Almost surely, 2^{128777805936000} is an apocalyptic number.

128777805936000 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 128777805936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264030393266640).

128777805936000 is an abundant number, since it is smaller than the sum of its proper divisors (399282980597280).

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

128777805936000 is an equidigital number, since it uses as much as digits as its factorization.

128777805936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 128777805936000 in words is "one hundred twenty-eight trillion, seven hundred seventy-seven billion, eight hundred five million, nine hundred thirty-six thousand".