65083622638056 has 128 divisors (see below), whose sum is σ = 178460396674560. Its totient is φ = 19615962067200.

The previous prime is 65083622637851. The next prime is 65083622638061.

65083622638056 is nontrivially palindromic in base 10.

65083622638056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36989646 + ... + 38709186.

It is an arithmetic number, because the mean of its divisors is an integer number (1394221849020).

Almost surely, 2^{65083622638056} is an apocalyptic number.

65083622638056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65083622638056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89230198337280).

65083622638056 is an abundant number, since it is smaller than the sum of its proper divisors (113376774036504).

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

65083622638056 is a wasteful number, since it uses less digits than its factorization.

65083622638056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720335 (or 1720331 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 65083622638056 in words is "sixty-five trillion, eighty-three billion, six hundred twenty-two million, six hundred thirty-eight thousand, fifty-six".