128263042252800 has 6480 divisors, whose sum is σ = 635661869897600. Its totient is φ = 25470204641280.

The previous prime is 128263042252799. The next prime is 128263042252801. The reversal of 128263042252800 is 8252240362821.

128263042252800 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 630 + 4 + 2 + 2 + 5 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128263042252799) and next prime (128263042252801).

It is a tau number, because it is divible by the number of its divisors (6480).

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 (128263042252801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7544884838392 + ... + 7544884838408.

Almost surely, 2^{128263042252800} is an apocalyptic number.

128263042252800 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 128263042252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317830934948800).

128263042252800 is an abundant number, since it is smaller than the sum of its proper divisors (507398827644800).

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

128263042252800 is an frugal number, since it uses more digits than its factorization.

128263042252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 128263042252800 in words is "one hundred twenty-eight trillion, two hundred sixty-three billion, forty-two million, two hundred fifty-two thousand, eight hundred".