128589754875840 has 448 divisors, whose sum is σ = 455436480844800. Its totient is φ = 34154755633152.

The previous prime is 128589754875839. The next prime is 128589754875863. The reversal of 128589754875840 is 48578457985821.

128589754875840 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 97 + 5 + 487 + 5 + 8 + 40 = 666.

It is a super-3 number, since 3×128589754875840³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128589754875840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2443391607 + ... + 2443444233.

It is an arithmetic number, because the mean of its divisors is an integer number (1016599287600).

Almost surely, 2^{128589754875840} is an apocalyptic number.

128589754875840 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 128589754875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227718240422400).

128589754875840 is an abundant number, since it is smaller than the sum of its proper divisors (326846725968960).

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

128589754875840 is a wasteful number, since it uses less digits than its factorization.

128589754875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53769 (or 53753 counting only the distinct ones).

The product of its (nonzero) digits is 7225344000, while the sum is 81.

The spelling of 128589754875840 in words is "one hundred twenty-eight trillion, five hundred eighty-nine billion, seven hundred fifty-four million, eight hundred seventy-five thousand, eight hundred forty".