128589153696 has 288 divisors, whose sum is σ = 396229736448. Its totient is φ = 40974232320.

The previous prime is 128589153677. The next prime is 128589153697. The reversal of 128589153696 is 696351985821.

128589153696 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 9 + 1 + 536 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (128589153697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20004435 + ... + 20010861.

It is an arithmetic number, because the mean of its divisors is an integer number (1375797696).

Almost surely, 2^128589153696 is an apocalyptic number.

128589153696 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 128589153696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198114868224).

128589153696 is an abundant number, since it is smaller than the sum of its proper divisors (267640582752).

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

128589153696 is an equidigital number, since it uses as much as digits as its factorization.

128589153696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6546 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 128589153696 in words is "one hundred twenty-eight billion, five hundred eighty-nine million, one hundred fifty-three thousand, six hundred ninety-six".