82383853977600 has 1728 divisors, whose sum is σ = 324381200774400. Its totient is φ = 18435224371200.

The previous prime is 82383853977599. The next prime is 82383853977697. The reversal of 82383853977600 is 677935838328.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178706841370 + ... + 178706841830.

It is an arithmetic number, because the mean of its divisors is an integer number (187720602300).

Almost surely, 2^{82383853977600} is an apocalyptic number.

82383853977600 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 82383853977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162190600387200).

82383853977600 is an abundant number, since it is smaller than the sum of its proper divisors (241997346796800).

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

82383853977600 is an frugal number, since it uses more digits than its factorization.

82383853977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 82383853977600 in words is "eighty-two trillion, three hundred eighty-three billion, eight hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".