82841850000 has 1620 divisors, whose sum is σ = 385636872348. Its totient is φ = 16450560000.

The previous prime is 82841849989. The next prime is 82841850031. The reversal of 82841850000 is 5814828.

It can be written as a sum of positive squares in 18 ways, for example, as 77586759936 + 5255090064 = 278544^2 + 72492^2 .

It is a super-2 number, since 2×82841850000² (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4873049992 + ... + 4873050008.

Almost surely, 2^82841850000 is an apocalyptic number.

82841850000 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 82841850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192818436174).

82841850000 is an abundant number, since it is smaller than the sum of its proper divisors (302795022348).

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

82841850000 is a wasteful number, since it uses less digits than its factorization.

82841850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 82841850000 in words is "eighty-two billion, eight hundred forty-one million, eight hundred fifty thousand".