128327879680 has 880 divisors, whose sum is σ = 427684197024. Its totient is φ = 36415733760.

The previous prime is 128327879677. The next prime is 128327879681. The reversal of 128327879680 is 86978723821.

It is a tau number, because it is divible by the number of its divisors (880).

It is not an unprimeable number, because it can be changed into a prime (128327879681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1757916124 + ... + 1757916196.

Almost surely, 2^128327879680 is an apocalyptic number.

128327879680 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 128327879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213842098512).

128327879680 is an abundant number, since it is smaller than the sum of its proper divisors (299356317344).

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

128327879680 is an equidigital number, since it uses as much as digits as its factorization.

128327879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 128327879680 in words is "one hundred twenty-eight billion, three hundred twenty-seven million, eight hundred seventy-nine thousand, six hundred eighty".