82827249120 has 864 divisors, whose sum is σ = 361393643520. Its totient is φ = 16904448000.

The previous prime is 82827249079. The next prime is 82827249121. The reversal of 82827249120 is 2194272828.

It is a happy number.

82827249120 is a `hidden beast` number, since 8 + 282 + 7 + 249 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82827249121) 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, 71960545 + ... + 71961695.

It is an arithmetic number, because the mean of its divisors is an integer number (418279680).

Almost surely, 2^82827249120 is an apocalyptic number.

82827249120 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 82827249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180696821760).

82827249120 is an abundant number, since it is smaller than the sum of its proper divisors (278566394400).

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

82827249120 is a wasteful number, since it uses less digits than its factorization.

82827249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 82827249120 in words is "eighty-two billion, eight hundred twenty-seven million, two hundred forty-nine thousand, one hundred twenty".