82895481676 has 144 divisors (see below), whose sum is σ = 180531348480. Its totient is φ = 33152595840.

The previous prime is 82895481673. The next prime is 82895481677. The reversal of 82895481676 is 67618459828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82895481673) 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, 18997471 + ... + 19001833.

It is an arithmetic number, because the mean of its divisors is an integer number (1253689920).

Almost surely, 2^82895481676 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 82895481676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90265674240).

82895481676 is an abundant number, since it is smaller than the sum of its proper divisors (97635866804).

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

82895481676 is a wasteful number, since it uses less digits than its factorization.

82895481676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4515 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 64.

The spelling of 82895481676 in words is "eighty-two billion, eight hundred ninety-five million, four hundred eighty-one thousand, six hundred seventy-six".