128357282621568 has 2304 divisors, whose sum is σ = 504240562264320. Its totient is φ = 28548779212800.

The previous prime is 128357282621531. The next prime is 128357282621713. The reversal of 128357282621568 is 865126282753821.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 128357282621499 and 128357282621508.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 35724262780 + ... + 35724266372.

It is an arithmetic number, because the mean of its divisors is an integer number (218854410705).

Almost surely, 2^{128357282621568} 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 128357282621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252120281132160).

128357282621568 is an abundant number, since it is smaller than the sum of its proper divisors (375883279642752).

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

128357282621568 is a wasteful number, since it uses less digits than its factorization.

128357282621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3717 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 128357282621568 in words is "one hundred twenty-eight trillion, three hundred fifty-seven billion, two hundred eighty-two million, six hundred twenty-one thousand, five hundred sixty-eight".