128727316480 has 384 divisors, whose sum is σ = 383685120000. Its totient is φ = 40450129920.

The previous prime is 128727316469. The next prime is 128727316483. The reversal of 128727316480 is 84613727821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128727316483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42217996 + ... + 42221044.

It is an arithmetic number, because the mean of its divisors is an integer number (999180000).

Almost surely, 2^128727316480 is an apocalyptic number.

128727316480 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 128727316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560000).

128727316480 is an abundant number, since it is smaller than the sum of its proper divisors (254957803520).

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

128727316480 is a wasteful number, since it uses less digits than its factorization.

128727316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 128727316480 in words is "one hundred twenty-eight billion, seven hundred twenty-seven million, three hundred sixteen thousand, four hundred eighty".