83800089000 has 640 divisors, whose sum is σ = 326585001600. Its totient is φ = 19919001600.

The previous prime is 83800088963. The next prime is 83800089007. The reversal of 83800089000 is 98000838.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83800089007) 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 159 ways as a sum of consecutive naturals, for example, 26161399 + ... + 26164601.

It is an arithmetic number, because the mean of its divisors is an integer number (510289065).

Almost surely, 2^83800089000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83800089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163292500800).

83800089000 is an abundant number, since it is smaller than the sum of its proper divisors (242784912600).

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

83800089000 is a wasteful number, since it uses less digits than its factorization.

83800089000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 83800089000 its reverse (98000838), we get a palindrome (83898089838).

The spelling of 83800089000 in words is "eighty-three billion, eight hundred million, eighty-nine thousand".