128205127080 has 256 divisors, whose sum is σ = 446651712000. Its totient is φ = 32648749056.

The previous prime is 128205127051. The next prime is 128205127097. The reversal of 128205127080 is 80721502821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16713486 + ... + 16721154.

It is an arithmetic number, because the mean of its divisors is an integer number (1744733250).

Almost surely, 2^128205127080 is an apocalyptic number.

128205127080 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 128205127080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223325856000).

128205127080 is an abundant number, since it is smaller than the sum of its proper divisors (318446584920).

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

128205127080 is a wasteful number, since it uses less digits than its factorization.

128205127080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 128205127080 in words is "one hundred twenty-eight billion, two hundred five million, one hundred twenty-seven thousand, eighty".