82206200936320 has 128 divisors (see below), whose sum is σ = 197185724547840. Its totient is φ = 32771963142144.

The previous prime is 82206200936311. The next prime is 82206200936323. The reversal of 82206200936320 is 2363900260228.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82206200936323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249320689 + ... + 249650191.

It is an arithmetic number, because the mean of its divisors is an integer number (1540513473030).

Almost surely, 2^{82206200936320} is an apocalyptic number.

82206200936320 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 82206200936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98592862273920).

82206200936320 is an abundant number, since it is smaller than the sum of its proper divisors (114979523611520).

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

82206200936320 is a wasteful number, since it uses less digits than its factorization.

82206200936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330832 (or 330820 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 82206200936320 in words is "eighty-two trillion, two hundred six billion, two hundred million, nine hundred thirty-six thousand, three hundred twenty".