82822533120 has 312 divisors, whose sum is σ = 287941106232. Its totient is φ = 22020096000.

The previous prime is 82822533119. The next prime is 82822533133. The reversal of 82822533120 is 2133522828.

It is a happy number.

82822533120 is a `hidden beast` number, since 8 + 282 + 25 + 331 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39184994304 + 43637538816 = 197952^2 + 208896^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118148770 + ... + 118149470.

It is an arithmetic number, because the mean of its divisors is an integer number (922888161).

Almost surely, 2^82822533120 is an apocalyptic number.

82822533120 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 82822533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143970553116).

82822533120 is an abundant number, since it is smaller than the sum of its proper divisors (205118573112).

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

82822533120 is a wasteful number, since it uses less digits than its factorization.

82822533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82822533120 in words is "eighty-two billion, eight hundred twenty-two million, five hundred thirty-three thousand, one hundred twenty".