128766581760 has 352 divisors, whose sum is σ = 420688173312. Its totient is φ = 33608171520.

The previous prime is 128766581737. The next prime is 128766581761. The reversal of 128766581760 is 67185667821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 128766581760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128766581761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217144024 + ... + 217144616.

It is an arithmetic number, because the mean of its divisors is an integer number (1195136856).

Almost surely, 2^128766581760 is an apocalyptic number.

128766581760 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 128766581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210344086656).

128766581760 is an abundant number, since it is smaller than the sum of its proper divisors (291921591552).

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

128766581760 is a wasteful number, since it uses less digits than its factorization.

128766581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 128766581760 in words is "one hundred twenty-eight billion, seven hundred sixty-six million, five hundred eighty-one thousand, seven hundred sixty".