83279283776 has 56 divisors (see below), whose sum is σ = 178258972920. Its totient is φ = 38374060032.

The previous prime is 83279283707. The next prime is 83279283797. The reversal of 83279283776 is 67738297238.

It can be written as a sum of positive squares in 4 ways, for example, as 3994240000 + 79285043776 = 63200^2 + 281576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432230 + ... + 594458.

It is an arithmetic number, because the mean of its divisors is an integer number (3183195945).

Almost surely, 2^83279283776 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 83279283776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89129486460).

83279283776 is an abundant number, since it is smaller than the sum of its proper divisors (94979689144).

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

83279283776 is a wasteful number, since it uses less digits than its factorization.

83279283776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162871 (or 162861 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 62.

The spelling of 83279283776 in words is "eighty-three billion, two hundred seventy-nine million, two hundred eighty-three thousand, seven hundred seventy-six".