82680517149120 has 1344 divisors, whose sum is σ = 329700107842560. Its totient is φ = 18819927244800.

The previous prime is 82680517149119. The next prime is 82680517149133. The reversal of 82680517149120 is 2194171508628.

82680517149120 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 0 + 517 + 14 + 91 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26090410896 + ... + 26090414064.

It is an arithmetic number, because the mean of its divisors is an integer number (245312580240).

Almost surely, 2^{82680517149120} is an apocalyptic number.

82680517149120 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 82680517149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164850053921280).

82680517149120 is an abundant number, since it is smaller than the sum of its proper divisors (247019590693440).

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

82680517149120 is a wasteful number, since it uses less digits than its factorization.

82680517149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 82680517149120 in words is "eighty-two trillion, six hundred eighty billion, five hundred seventeen million, one hundred forty-nine thousand, one hundred twenty".