82228776912 has 240 divisors, whose sum is σ = 244352902080. Its totient is φ = 26474107392.

The previous prime is 82228776901. The next prime is 82228776919. The reversal of 82228776912 is 21967782228.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82228776919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96399078 + ... + 96399930.

It is an arithmetic number, because the mean of its divisors is an integer number (1018137092).

Almost surely, 2^82228776912 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 82228776912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122176451040).

82228776912 is an abundant number, since it is smaller than the sum of its proper divisors (162124125168).

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

82228776912 is a wasteful number, since it uses less digits than its factorization.

82228776912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1058 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 82228776912 in words is "eighty-two billion, two hundred twenty-eight million, seven hundred seventy-six thousand, nine hundred twelve".