83273705856 has 512 divisors, whose sum is σ = 291409920000. Its totient is φ = 23128934400.

The previous prime is 83273705849. The next prime is 83273705857. The reversal of 83273705856 is 65850737238.

83273705856 is a `hidden beast` number, since 8 + 3 + 27 + 37 + 0 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83273705857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22389565 + ... + 22393283.

It is an arithmetic number, because the mean of its divisors is an integer number (569160000).

Almost surely, 2^83273705856 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 83273705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960000).

83273705856 is an abundant number, since it is smaller than the sum of its proper divisors (208136214144).

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

83273705856 is a wasteful number, since it uses less digits than its factorization.

83273705856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 83273705856 in words is "eighty-three billion, two hundred seventy-three million, seven hundred five thousand, eight hundred fifty-six".