128816638000 has 80 divisors (see below), whose sum is σ = 311775179040. Its totient is φ = 51477600000.

The previous prime is 128816637997. The next prime is 128816638001. The reversal of 128816638000 is 836618821.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (128816638001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107875 + ... + 2168125.

It is an arithmetic number, because the mean of its divisors is an integer number (3897189738).

Almost surely, 2^128816638000 is an apocalyptic number.

128816638000 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 128816638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155887589520).

128816638000 is an abundant number, since it is smaller than the sum of its proper divisors (182958541040).

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

128816638000 is a wasteful number, since it uses less digits than its factorization.

128816638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61343 (or 61327 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 128816638000 in words is "one hundred twenty-eight billion, eight hundred sixteen million, six hundred thirty-eight thousand".