128890041883008 has 256 divisors, whose sum is σ = 396697528381440. Its totient is φ = 36315378155520.

The previous prime is 128890041882991. The next prime is 128890041883021. The reversal of 128890041883008 is 800388140098821.

It is a super-2 number, since 2×128890041883008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290515313 + ... + 1290615183.

It is an arithmetic number, because the mean of its divisors is an integer number (1549599720240).

Almost surely, 2^{128890041883008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128890041883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198348764190720).

128890041883008 is an abundant number, since it is smaller than the sum of its proper divisors (267807486498432).

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

128890041883008 is an equidigital number, since it uses as much as digits as its factorization.

128890041883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106545 (or 106533 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 60.

The spelling of 128890041883008 in words is "one hundred twenty-eight trillion, eight hundred ninety billion, forty-one million, eight hundred eighty-three thousand, eight".