83128891200 has 336 divisors, whose sum is σ = 287999424000. Its totient is φ = 20934236160.

The previous prime is 83128891189. The next prime is 83128891207. The reversal of 83128891200 is 219882138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83128891207) 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 47 ways as a sum of consecutive naturals, for example, 32739531 + ... + 32742069.

Almost surely, 2^83128891200 is an apocalyptic number.

83128891200 is a gapful number since it is divisible by the number (80) 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 83128891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143999712000).

83128891200 is an abundant number, since it is smaller than the sum of its proper divisors (204870532800).

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

83128891200 is a wasteful number, since it uses less digits than its factorization.

83128891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 83128891200 in words is "eighty-three billion, one hundred twenty-eight million, eight hundred ninety-one thousand, two hundred".