82816076112 has 320 divisors, whose sum is σ = 285388400640. Its totient is φ = 20043417600.

The previous prime is 82816076087. The next prime is 82816076117. The reversal of 82816076112 is 21167061828.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82816076117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4273998 + ... + 4293330.

It is an arithmetic number, because the mean of its divisors is an integer number (891838752).

Almost surely, 2^82816076112 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 82816076112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142694200320).

82816076112 is an abundant number, since it is smaller than the sum of its proper divisors (202572324528).

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

82816076112 is a wasteful number, since it uses less digits than its factorization.

82816076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19442 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 82816076112 in words is "eighty-two billion, eight hundred sixteen million, seventy-six thousand, one hundred twelve".