128795764543488 has 468 divisors, whose sum is σ = 439337269242144. Its totient is φ = 35611663564800.

The previous prime is 128795764543469. The next prime is 128795764543513. The reversal of 128795764543488 is 884345467597821.

128795764543488 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 9 + 5 + 7 + 64 + 543 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×128795764543488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247724443 + ... + 248243813.

It is an arithmetic number, because the mean of its divisors is an integer number (938754848808).

Almost surely, 2^{128795764543488} is an apocalyptic number.

128795764543488 is a gapful number since it is divisible by the number (18) 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 128795764543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219668634621072).

128795764543488 is an abundant number, since it is smaller than the sum of its proper divisors (310541504698656).

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

128795764543488 is an equidigital number, since it uses as much as digits as its factorization.

128795764543488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519470 (or 519414 counting only the distinct ones).

The product of its digits is 13005619200, while the sum is 81.

The spelling of 128795764543488 in words is "one hundred twenty-eight trillion, seven hundred ninety-five billion, seven hundred sixty-four million, five hundred forty-three thousand, four hundred eighty-eight".