128759848763280 has 320 divisors, whose sum is σ = 459737474347008. Its totient is φ = 29201238743040.

The previous prime is 128759848763269. The next prime is 128759848763281. The reversal of 128759848763280 is 82367848957821.

It is a junction number, because it is equal to n+sod(n) for n = 128759848763196 and 128759848763205.

It is not an unprimeable number, because it can be changed into a prime (128759848763281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395921322 + ... + 1396013558.

It is a 1-persistent number, because it is pandigital, but 2⋅128759848763280 = 257519697526560 is not.

Almost surely, 2^{128759848763280} is an apocalyptic number.

128759848763280 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 128759848763280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229868737173504).

128759848763280 is an abundant number, since it is smaller than the sum of its proper divisors (330977625583728).

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

128759848763280 is a wasteful number, since it uses less digits than its factorization.

128759848763280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98734 (or 98728 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 78.

The spelling of 128759848763280 in words is "one hundred twenty-eight trillion, seven hundred fifty-nine billion, eight hundred forty-eight million, seven hundred sixty-three thousand, two hundred eighty".