128201825808 has 480 divisors, whose sum is σ = 436710144000. Its totient is φ = 35054208000.

The previous prime is 128201825789. The next prime is 128201825809. The reversal of 128201825808 is 808528102821.

It is not an unprimeable number, because it can be changed into a prime (128201825809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154645938 + ... + 154646766.

It is an arithmetic number, because the mean of its divisors is an integer number (909812800).

Almost surely, 2^128201825808 is an apocalyptic number.

128201825808 is a gapful number since it is divisible by the number (18) 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 128201825808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218355072000).

128201825808 is an abundant number, since it is smaller than the sum of its proper divisors (308508318192).

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

128201825808 is a wasteful number, since it uses less digits than its factorization.

128201825808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 128201825808 in words is "one hundred twenty-eight billion, two hundred one million, eight hundred twenty-five thousand, eight hundred eight".