128000380842560 has 224 divisors, whose sum is σ = 309633911470080. Its totient is φ = 50395777302528.

The previous prime is 128000380842559. The next prime is 128000380842589. The reversal of 128000380842560 is 65248083000821.

128000380842560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3171681902 + ... + 3171722258.

Almost surely, 2^{128000380842560} is an apocalyptic number.

128000380842560 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 128000380842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154816955735040).

128000380842560 is an abundant number, since it is smaller than the sum of its proper divisors (181633530627520).

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

128000380842560 is a wasteful number, since it uses less digits than its factorization.

128000380842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41093 (or 41083 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 128000380842560 in words is "one hundred twenty-eight trillion, three hundred eighty million, eight hundred forty-two thousand, five hundred sixty".