83269837056 has 288 divisors, whose sum is σ = 265767878656. Its totient is φ = 22643712000.

The previous prime is 83269836997. The next prime is 83269837061. The reversal of 83269837056 is 65073896238.

It is a junction number, because it is equal to n+sod(n) for n = 83269836987 and 83269837005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10161921 + ... + 10170111.

Almost surely, 2^83269837056 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 83269837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132883939328).

83269837056 is an abundant number, since it is smaller than the sum of its proper divisors (182498041600).

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

83269837056 is a wasteful number, since it uses less digits than its factorization.

83269837056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 83269837056 in words is "eighty-three billion, two hundred sixty-nine million, eight hundred thirty-seven thousand, fifty-six".