128163207744000 has 5760 divisors, whose sum is σ = 588410199336960. Its totient is φ = 27754721280000.

The previous prime is 128163207743959. The next prime is 128163207744001. The reversal of 128163207744000 is 447702361821.

128163207744000 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 632 + 0 + 7 + 7 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128163207744001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4134297023985 + ... + 4134297024015.

It is an arithmetic number, because the mean of its divisors is an integer number (102154548496).

Almost surely, 2^{128163207744000} is an apocalyptic number.

128163207744000 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 128163207744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294205099668480).

128163207744000 is an abundant number, since it is smaller than the sum of its proper divisors (460246991592960).

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

128163207744000 is an frugal number, since it uses more digits than its factorization.

128163207744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 128163207744000 in words is "one hundred twenty-eight trillion, one hundred sixty-three billion, two hundred seven million, seven hundred forty-four thousand".