8206782717120 has 672 divisors, whose sum is σ = 29826004538880. Its totient is φ = 1905694801920.

The previous prime is 8206782717109. The next prime is 8206782717209. The reversal of 8206782717120 is 217172876028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 742891437 + ... + 742902483.

Almost surely, 2^{8206782717120} is an apocalyptic number.

8206782717120 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 8206782717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913002269440).

8206782717120 is an abundant number, since it is smaller than the sum of its proper divisors (21619221821760).

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

8206782717120 is a wasteful number, since it uses less digits than its factorization.

8206782717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11353 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The spelling of 8206782717120 in words is "eight trillion, two hundred six billion, seven hundred eighty-two million, seven hundred seventeen thousand, one hundred twenty".