128397772800 has 864 divisors, whose sum is σ = 509977671840. Its totient is φ = 30611865600.

The previous prime is 128397772751. The next prime is 128397772807. The reversal of 128397772800 is 8277793821.

It is not an unprimeable number, because it can be changed into a prime (128397772807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370022227 + ... + 370022573.

It is an arithmetic number, because the mean of its divisors is an integer number (590251935).

Almost surely, 2^128397772800 is an apocalyptic number.

128397772800 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 128397772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254988835920).

128397772800 is an abundant number, since it is smaller than the sum of its proper divisors (381579899040).

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

128397772800 is a wasteful number, since it uses less digits than its factorization.

128397772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 128397772800 in words is "one hundred twenty-eight billion, three hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".