83044021760 has 320 divisors, whose sum is σ = 237905344512. Its totient is φ = 27206516736.

The previous prime is 83044021729. The next prime is 83044021763. The reversal of 83044021760 is 6712044038.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83044021760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83044021763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36215174 + ... + 36217466.

Almost surely, 2^83044021760 is an apocalyptic number.

83044021760 is a gapful number since it is divisible by the number (80) 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 83044021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118952672256).

83044021760 is an abundant number, since it is smaller than the sum of its proper divisors (154861322752).

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

83044021760 is a wasteful number, since it uses less digits than its factorization.

83044021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 83044021760 its reverse (6712044038), we get a palindrome (89756065798).

The spelling of 83044021760 in words is "eighty-three billion, forty-four million, twenty-one thousand, seven hundred sixty".