83540195200 has 384 divisors, whose sum is σ = 268497815040. Its totient is φ = 24904704000.

The previous prime is 83540195173. The next prime is 83540195209. The reversal of 83540195200 is 259104538.

It is a self number, because there is not a number n which added to its sum of digits gives 83540195200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83540195209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5659830 + ... + 5674570.

It is an arithmetic number, because the mean of its divisors is an integer number (699213060).

Almost surely, 2^83540195200 is an apocalyptic number.

83540195200 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 83540195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134248907520).

83540195200 is an abundant number, since it is smaller than the sum of its proper divisors (184957619840).

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

83540195200 is a wasteful number, since it uses less digits than its factorization.

83540195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

Adding to 83540195200 its reverse (259104538), we get a palindrome (83799299738).

The spelling of 83540195200 in words is "eighty-three billion, five hundred forty million, one hundred ninety-five thousand, two hundred".