8162720138720 has 288 divisors, whose sum is σ = 23845008876192. Its totient is φ = 2623760498688.

The previous prime is 8162720138693. The next prime is 8162720138761. The reversal of 8162720138720 is 278310272618.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34133807 + ... + 34372113.

It is an arithmetic number, because the mean of its divisors is an integer number (82795169709).

Almost surely, 2^{8162720138720} is an apocalyptic number.

8162720138720 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 8162720138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922504438096).

8162720138720 is an abundant number, since it is smaller than the sum of its proper divisors (15682288737472).

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

8162720138720 is a wasteful number, since it uses less digits than its factorization.

8162720138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238610 (or 238595 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 8162720138720 in words is "eight trillion, one hundred sixty-two billion, seven hundred twenty million, one hundred thirty-eight thousand, seven hundred twenty".