128204600961024 has 864 divisors, whose sum is σ = 466255164211200. Its totient is φ = 34701732495360.

The previous prime is 128204600961023. The next prime is 128204600961061. The reversal of 128204600961024 is 420169006402821.

It is a happy number.

128204600961024 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 4 + 6 + 0 + 0 + 9 + 610 + 24 = 666.

128204600961024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (128204600961023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 978065409 + ... + 978196479.

It is an arithmetic number, because the mean of its divisors is an integer number (539647180800).

Almost surely, 2^{128204600961024} is an apocalyptic number.

128204600961024 is a gapful number since it is divisible by the number (14) 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 128204600961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233127582105600).

128204600961024 is an abundant number, since it is smaller than the sum of its proper divisors (338050563250176).

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

128204600961024 is a wasteful number, since it uses less digits than its factorization.

128204600961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131154 (or 131102 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 128204600961024 in words is "one hundred twenty-eight trillion, two hundred four billion, six hundred million, nine hundred sixty-one thousand, twenty-four".