82769276112 has 80 divisors (see below), whose sum is σ = 219141599040. Its totient is φ = 26903833600.

The previous prime is 82769276077. The next prime is 82769276137. The reversal of 82769276112 is 21167296728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4594162 + ... + 4612142.

It is an arithmetic number, because the mean of its divisors is an integer number (2739269988).

Almost surely, 2^82769276112 is an apocalyptic number.

82769276112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a pronic number, being equal to 287696×287697.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82769276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109570799520).

82769276112 is an abundant number, since it is smaller than the sum of its proper divisors (136372322928).

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

82769276112 is a wasteful number, since it uses less digits than its factorization.

82769276112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20372 (or 20366 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The spelling of 82769276112 in words is "eighty-two billion, seven hundred sixty-nine million, two hundred seventy-six thousand, one hundred twelve".