83056386336 has 576 divisors, whose sum is σ = 289578240000. Its totient is φ = 20362383360.

The previous prime is 83056386323. The next prime is 83056386409. The reversal of 83056386336 is 63368365038.

It is a super-2 number, since 2×83056386336² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166445415 + ... + 166445913.

It is an arithmetic number, because the mean of its divisors is an integer number (502740000).

Almost surely, 2^83056386336 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 83056386336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120000).

83056386336 is an abundant number, since it is smaller than the sum of its proper divisors (206521853664).

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

83056386336 is a wasteful number, since it uses less digits than its factorization.

83056386336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 83056386336 in words is "eighty-three billion, fifty-six million, three hundred eighty-six thousand, three hundred thirty-six".