8182728180000 has 720 divisors, whose sum is σ = 31756633324416. Its totient is φ = 1981474560000.

The previous prime is 8182728179947. The next prime is 8182728180013. The reversal of 8182728180000 is 818272818.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8182728180000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2401738297 + ... + 2401741703.

Almost surely, 2^{8182728180000} is an apocalyptic number.

8182728180000 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 8182728180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878316662208).

8182728180000 is an abundant number, since it is smaller than the sum of its proper divisors (23573905144416).

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

8182728180000 is a wasteful number, since it uses less digits than its factorization.

8182728180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

8182728180000 divided by its reverse (818272818) gives a 4-th power (10000 = 10⁴).

The spelling of 8182728180000 in words is "eight trillion, one hundred eighty-two billion, seven hundred twenty-eight million, one hundred eighty thousand".