128689973268480 has 2496 divisors, whose sum is σ = 520771586549760. Its totient is φ = 30264596103168.

The previous prime is 128689973268433. The next prime is 128689973268481. The reversal of 128689973268480 is 84862379986821.

128689973268480 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 8 + 9 + 9 + 73 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×128689973268480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 128689973268480.

It is not an unprimeable number, because it can be changed into a prime (128689973268481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212009840337 + ... + 212009840943.

It is an arithmetic number, because the mean of its divisors is an integer number (208642462560).

Almost surely, 2^{128689973268480} is an apocalyptic number.

128689973268480 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 128689973268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260385793274880).

128689973268480 is an abundant number, since it is smaller than the sum of its proper divisors (392081613281280).

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

128689973268480 is a wasteful number, since it uses less digits than its factorization.

128689973268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 128689973268480 in words is "one hundred twenty-eight trillion, six hundred eighty-nine billion, nine hundred seventy-three million, two hundred sixty-eight thousand, four hundred eighty".