82353211200 has 1008 divisors, whose sum is σ = 340084233216. Its totient is φ = 18734284800.

The previous prime is 82353211181. The next prime is 82353211207. The reversal of 82353211200 is 211235328.

82353211200 is a `hidden beast` number, since 8 + 2 + 3 + 532 + 1 + 120 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353211207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133473292 + ... + 133473908.

It is an arithmetic number, because the mean of its divisors is an integer number (337385152).

Almost surely, 2^82353211200 is an apocalyptic number.

82353211200 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 82353211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170042116608).

82353211200 is an abundant number, since it is smaller than the sum of its proper divisors (257731022016).

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

82353211200 is a wasteful number, since it uses less digits than its factorization.

82353211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 82353211200 its reverse (211235328), we get a palindrome (82564446528).

The spelling of 82353211200 in words is "eighty-two billion, three hundred fifty-three million, two hundred eleven thousand, two hundred".