128964559320576 has 960 divisors, whose sum is σ = 439829307979776. Its totient is φ = 35619205939200.

The previous prime is 128964559320463. The next prime is 128964559320659. The reversal of 128964559320576 is 675023955469821.

128964559320576 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 6 + 4 + 5 + 593 + 20 + 5 + 7 + 6 = 666.

128964559320576 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44670784605 + ... + 44670787491.

It is a 1-persistent number, because it is pandigital, but 2⋅128964559320576 = 257929118641152 is not.

Almost surely, 2^{128964559320576} is an apocalyptic number.

128964559320576 is a gapful number since it is divisible by the number (16) 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 128964559320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219914653989888).

128964559320576 is an abundant number, since it is smaller than the sum of its proper divisors (310864748659200).

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

128964559320576 is a wasteful number, since it uses less digits than its factorization.

128964559320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 128964559320576 in words is "one hundred twenty-eight trillion, nine hundred sixty-four billion, five hundred fifty-nine million, three hundred twenty thousand, five hundred seventy-six".