128604241920 has 544 divisors, whose sum is σ = 513378892800. Its totient is φ = 26707230720.

The previous prime is 128604241903. The next prime is 128604241937. The reversal of 128604241920 is 29142406821.

It is an interprime number because it is at equal distance from previous prime (128604241903) and next prime (128604241937).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75693231 + ... + 75694929.

It is an arithmetic number, because the mean of its divisors is an integer number (943711200).

Almost surely, 2^128604241920 is an apocalyptic number.

128604241920 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 128604241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256689446400).

128604241920 is an abundant number, since it is smaller than the sum of its proper divisors (384774650880).

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

128604241920 is an equidigital number, since it uses as much as digits as its factorization.

128604241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 128604241920 in words is "one hundred twenty-eight billion, six hundred four million, two hundred forty-one thousand, nine hundred twenty".