128776186920960 has 1280 divisors, whose sum is σ = 490960090280880. Its totient is φ = 32180042465280.

The previous prime is 128776186920881. The next prime is 128776186921003. The reversal of 128776186920960 is 69029681677821.

128776186920960 is a `hidden beast` number, since 1 + 287 + 7 + 6 + 1 + 86 + 9 + 209 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118438470107136 + 10337716813824 = 10882944^2 + 3215232^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57981172650 + ... + 57981174870.

Almost surely, 2^{128776186920960} is an apocalyptic number.

128776186920960 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 128776186920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245480045140440).

128776186920960 is an abundant number, since it is smaller than the sum of its proper divisors (362183903359920).

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

128776186920960 is an equidigital number, since it uses as much as digits as its factorization.

128776186920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 128776186920960 in words is "one hundred twenty-eight trillion, seven hundred seventy-six billion, one hundred eighty-six million, nine hundred twenty thousand, nine hundred sixty".