83440375200 has 1728 divisors, whose sum is σ = 389000102400. Its totient is φ = 16690544640.

The previous prime is 83440375181. The next prime is 83440375211. The reversal of 83440375200 is 257304438.

It is a happy number.

83440375200 is a `hidden beast` number, since 8 + 3 + 440 + 3 + 7 + 5 + 200 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 738410344 + ... + 738410456.

It is an arithmetic number, because the mean of its divisors is an integer number (225115800).

Almost surely, 2^83440375200 is an apocalyptic number.

83440375200 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 83440375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194500051200).

83440375200 is an abundant number, since it is smaller than the sum of its proper divisors (305559727200).

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

83440375200 is a wasteful number, since it uses less digits than its factorization.

83440375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 83440375200 its reverse (257304438), we get a palindrome (83697679638).

The spelling of 83440375200 in words is "eighty-three billion, four hundred forty million, three hundred seventy-five thousand, two hundred".