82009183200 has 1296 divisors, whose sum is σ = 349957601280. Its totient is φ = 16582164480.

The previous prime is 82009183177. The next prime is 82009183229. The reversal of 82009183200 is 238190028.

It is a super-2 number, since 2×82009183200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 645741537 + ... + 645741663.

Almost surely, 2^82009183200 is an apocalyptic number.

82009183200 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 82009183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174978800640).

82009183200 is an abundant number, since it is smaller than the sum of its proper divisors (267948418080).

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

82009183200 is a wasteful number, since it uses less digits than its factorization.

82009183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 82009183200 in words is "eighty-two billion, nine million, one hundred eighty-three thousand, two hundred".