82183680000 has 1040 divisors, whose sum is σ = 322417418400. Its totient is φ = 20643840000.

The previous prime is 82183679999. The next prime is 82183680053. The reversal of 82183680000 is 8638128.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004479980 + ... + 2004480020.

Almost surely, 2^82183680000 is an apocalyptic number.

82183680000 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 82183680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161208709200).

82183680000 is an abundant number, since it is smaller than the sum of its proper divisors (240233738400).

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

82183680000 is an equidigital number, since it uses as much as digits as its factorization.

82183680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 82183680000 in words is "eighty-two billion, one hundred eighty-three million, six hundred eighty thousand".