83583221760 has 960 divisors, whose sum is σ = 326139125760. Its totient is φ = 20242759680.

The previous prime is 83583221759. The next prime is 83583221789. The reversal of 83583221760 is 6712238538.

83583221760 is a `hidden beast` number, since 8 + 3 + 583 + 2 + 2 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×83583221760⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1577041894 + ... + 1577041946.

It is an arithmetic number, because the mean of its divisors is an integer number (339728256).

Almost surely, 2^83583221760 is an apocalyptic number.

83583221760 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 83583221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163069562880).

83583221760 is an abundant number, since it is smaller than the sum of its proper divisors (242555904000).

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

83583221760 is a wasteful number, since it uses less digits than its factorization.

83583221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 83583221760 in words is "eighty-three billion, five hundred eighty-three million, two hundred twenty-one thousand, seven hundred sixty".