82533300120 has 384 divisors, whose sum is σ = 288386542080. Its totient is φ = 20431872000.

The previous prime is 82533300107. The next prime is 82533300173. The reversal of 82533300120 is 2100333528.

82533300120 is a `hidden beast` number, since 8 + 2 + 533 + 3 + 0 + 0 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27909682 + ... + 27912638.

It is an arithmetic number, because the mean of its divisors is an integer number (751006620).

Almost surely, 2^82533300120 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 82533300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144193271040).

82533300120 is an abundant number, since it is smaller than the sum of its proper divisors (205853241960).

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

82533300120 is a wasteful number, since it uses less digits than its factorization.

82533300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 82533300120 its reverse (2100333528), we get a palindrome (84633633648).

The spelling of 82533300120 in words is "eighty-two billion, five hundred thirty-three million, three hundred thousand, one hundred twenty".