83216102400 has 792 divisors, whose sum is σ = 314243125248. Its totient is φ = 21012480000.

The previous prime is 83216102383. The next prime is 83216102401. The reversal of 83216102400 is 420161238.

83216102400 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 610 + 2 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83216102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435686305 + ... + 435686495.

Almost surely, 2^83216102400 is an apocalyptic number.

83216102400 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 83216102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157121562624).

83216102400 is an abundant number, since it is smaller than the sum of its proper divisors (231027022848).

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

83216102400 is a wasteful number, since it uses less digits than its factorization.

83216102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 83216102400 its reverse (420161238), we get a palindrome (83636263638).

The spelling of 83216102400 in words is "eighty-three billion, two hundred sixteen million, one hundred two thousand, four hundred".