83931720544 has 144 divisors (see below), whose sum is σ = 214238772720. Its totient is φ = 32072785920.

The previous prime is 83931720491. The next prime is 83931720619. The reversal of 83931720544 is 44502713938.

It is a super-2 number, since 2×83931720544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83931720494 and 83931720503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423604 + ... + 589324.

It is an arithmetic number, because the mean of its divisors is an integer number (1487769255).

Almost surely, 2^83931720544 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 83931720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107119386360).

83931720544 is an abundant number, since it is smaller than the sum of its proper divisors (130307052176).

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

83931720544 is a wasteful number, since it uses less digits than its factorization.

83931720544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165781 (or 165766 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 83931720544 in words is "eighty-three billion, nine hundred thirty-one million, seven hundred twenty thousand, five hundred forty-four".