128399644800 has 768 divisors, whose sum is σ = 543874118400. Its totient is φ = 29337292800.

The previous prime is 128399644783. The next prime is 128399644801. The reversal of 128399644800 is 8446993821.

128399644800 is a `hidden beast` number, since 12 + 8 + 3 + 99 + 64 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128399644801) 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 95 ways as a sum of consecutive naturals, for example, 48987490 + ... + 48990110.

It is an arithmetic number, because the mean of its divisors is an integer number (708169425).

Almost surely, 2^128399644800 is an apocalyptic number.

128399644800 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 128399644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271937059200).

128399644800 is an abundant number, since it is smaller than the sum of its proper divisors (415474473600).

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

128399644800 is an frugal number, since it uses more digits than its factorization.

128399644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 128399644800 in words is "one hundred twenty-eight billion, three hundred ninety-nine million, six hundred forty-four thousand, eight hundred".