128766298752 has 1152 divisors, whose sum is σ = 493604879040. Its totient is φ = 33108590592.

The previous prime is 128766298751. The next prime is 128766298757. The reversal of 128766298752 is 257892667821.

128766298752 is a `hidden beast` number, since 1 + 287 + 66 + 298 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (40642560) is a multiple of the sum of its prime divisors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 128766298752.

It is not an unprimeable number, because it can be changed into a prime (128766298751) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1327487568 + ... + 1327487664.

Almost surely, 2^128766298752 is an apocalyptic number.

128766298752 is a gapful number since it is divisible by the number (12) 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 128766298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246802439520).

128766298752 is an abundant number, since it is smaller than the sum of its proper divisors (364838580288).

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

128766298752 is an equidigital number, since it uses as much as digits as its factorization.

128766298752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 128766298752 in words is "one hundred twenty-eight billion, seven hundred sixty-six million, two hundred ninety-eight thousand, seven hundred fifty-two".