82833408000000 has 2128 divisors, whose sum is σ = 353889195160320. Its totient is φ = 18756403200000.

The previous prime is 82833407999999. The next prime is 82833408000019. The reversal of 82833408000000 is 80433828.

It is a happy number.

It is a super-2 number, since 2×82833408000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 774143999947 + ... + 774144000053.

Almost surely, 2^{82833408000000} is an apocalyptic number.

82833408000000 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 82833408000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176944597580160).

82833408000000 is an abundant number, since it is smaller than the sum of its proper divisors (271055787160320).

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

82833408000000 is an frugal number, since it uses more digits than its factorization.

82833408000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 82833408000000 its reverse (80433828), we get a palindrome (82833488433828).

The spelling of 82833408000000 in words is "eighty-two trillion, eight hundred thirty-three billion, four hundred eight million", and thus it is an aban number.