128268748800 has 720 divisors, whose sum is σ = 480533032980. Its totient is φ = 33814609920.

The previous prime is 128268748799. The next prime is 128268748807. The reversal of 128268748800 is 8847862821.

128268748800 is a `hidden beast` number, since 1 + 2 + 82 + 6 + 87 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73445336064 + 54823412736 = 271008^2 + 234144^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (128268748807) 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 59 ways as a sum of consecutive naturals, for example, 651110302 + ... + 651110498.

Almost surely, 2^128268748800 is an apocalyptic number.

128268748800 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 128268748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240266516490).

128268748800 is an abundant number, since it is smaller than the sum of its proper divisors (352264284180).

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

128268748800 is a wasteful number, since it uses less digits than its factorization.

128268748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 128268748800 in words is "one hundred twenty-eight billion, two hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred".