82183834828800 has 1920 divisors, whose sum is σ = 317298459456000. Its totient is φ = 21097768550400.

The previous prime is 82183834828741. The next prime is 82183834828801. The reversal of 82183834828800 is 882843838128.

82183834828800 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 3 + 8 + 348 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×82183834828800³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82183834828801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1347275980770 + ... + 1347275980830.

It is an arithmetic number, because the mean of its divisors is an integer number (165259614300).

Almost surely, 2^{82183834828800} is an apocalyptic number.

82183834828800 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 82183834828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158649229728000).

82183834828800 is an abundant number, since it is smaller than the sum of its proper divisors (235114624627200).

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

82183834828800 is an frugal number, since it uses more digits than its factorization.

82183834828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 82183834828800 in words is "eighty-two trillion, one hundred eighty-three billion, eight hundred thirty-four million, eight hundred twenty-eight thousand, eight hundred".