83820896280 has 960 divisors, whose sum is σ = 337663872000. Its totient is φ = 18629740800.

The previous prime is 83820896279. The next prime is 83820896281. The reversal of 83820896280 is 8269802838.

83820896280 is a `hidden beast` number, since 8 + 3 + 8 + 2 + 0 + 8 + 9 + 628 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83820896279) and next prime (83820896281).

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 (83820896281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2703899865 + ... + 2703899895.

It is an arithmetic number, because the mean of its divisors is an integer number (351733200).

Almost surely, 2^83820896280 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 83820896280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168831936000).

83820896280 is an abundant number, since it is smaller than the sum of its proper divisors (253842975720).

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

83820896280 is a wasteful number, since it uses less digits than its factorization.

83820896280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

It can be divided in two parts, 83820 and 896280, that added together give a square (980100 = 990²).

The spelling of 83820896280 in words is "eighty-three billion, eight hundred twenty million, eight hundred ninety-six thousand, two hundred eighty".