42753128200 has 96 divisors (see below), whose sum is σ = 103128165000. Its totient is φ = 16463462400.

The previous prime is 42753128137. The next prime is 42753128219. The reversal of 42753128200 is 282135724.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10034830276 + 32718297924 = 100174^2 + 180882^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013640 + ... + 2034760.

Almost surely, 2^42753128200 is an apocalyptic number.

42753128200 is a gapful number since it is divisible by the number (40) 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 42753128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51564082500).

42753128200 is an abundant number, since it is smaller than the sum of its proper divisors (60375036800).

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

42753128200 is a wasteful number, since it uses less digits than its factorization.

42753128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21515 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 42753128200 in words is "forty-two billion, seven hundred fifty-three million, one hundred twenty-eight thousand, two hundred".