128107641523680 has 5760 divisors, whose sum is σ = 624455249806080. Its totient is φ = 23992978636800.

The previous prime is 128107641523679. The next prime is 128107641523691. The reversal of 128107641523680 is 86325146701821.

It is a happy number.

128107641523680 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 0 + 76 + 41 + 523 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1175299463466 + ... + 1175299463574.

It is an arithmetic number, because the mean of its divisors is an integer number (108412369758).

Almost surely, 2^{128107641523680} is an apocalyptic number.

128107641523680 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 128107641523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312227624903040).

128107641523680 is an abundant number, since it is smaller than the sum of its proper divisors (496347608282400).

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

128107641523680 is a wasteful number, since it uses less digits than its factorization.

128107641523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 128107641523680 in words is "one hundred twenty-eight trillion, one hundred seven billion, six hundred forty-one million, five hundred twenty-three thousand, six hundred eighty".