128595541200 has 720 divisors, whose sum is σ = 512712720000. Its totient is φ = 27373731840.

The previous prime is 128595541199. The next prime is 128595541231. The reversal of 128595541200 is 2145595821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 102958176 + ... + 102959424.

It is an arithmetic number, because the mean of its divisors is an integer number (712101000).

Almost surely, 2^128595541200 is an apocalyptic number.

128595541200 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 128595541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256356360000).

128595541200 is an abundant number, since it is smaller than the sum of its proper divisors (384117178800).

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

128595541200 is a wasteful number, since it uses less digits than its factorization.

128595541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 128595541200 in words is "one hundred twenty-eight billion, five hundred ninety-five million, five hundred forty-one thousand, two hundred".