128203047187488 has 1728 divisors, whose sum is σ = 479446211462400. Its totient is φ = 33210173767680.

The previous prime is 128203047187427. The next prime is 128203047187489. The reversal of 128203047187488 is 884781740302821.

128203047187488 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 3 + 0 + 4 + 71 + 87 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (128203047187489) 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 287 ways as a sum of consecutive naturals, for example, 203174400933 + ... + 203174401563.

It is an arithmetic number, because the mean of its divisors is an integer number (277457298300).

Almost surely, 2^{128203047187488} is an apocalyptic number.

128203047187488 is a gapful number since it is divisible by the number (18) 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 128203047187488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239723105731200).

128203047187488 is an abundant number, since it is smaller than the sum of its proper divisors (351243164274912).

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

128203047187488 is a wasteful number, since it uses less digits than its factorization.

128203047187488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 128203047187488 in words is "one hundred twenty-eight trillion, two hundred three billion, forty-seven million, one hundred eighty-seven thousand, four hundred eighty-eight".