82668548027520 has 2304 divisors, whose sum is σ = 360265363960320. Its totient is φ = 17100531302400.

The previous prime is 82668548027489. The next prime is 82668548027551. The reversal of 82668548027520 is 2572084586628.

It is a happy number.

82668548027520 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 8 + 5 + 4 + 80 + 27 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (82668548027489) and next prime (82668548027551).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77769094509 + ... + 77769095571.

It is an arithmetic number, because the mean of its divisors is an integer number (156365175330).

Almost surely, 2^{82668548027520} is an apocalyptic number.

82668548027520 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 82668548027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180132681980160).

82668548027520 is an abundant number, since it is smaller than the sum of its proper divisors (277596815932800).

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

82668548027520 is a wasteful number, since it uses less digits than its factorization.

82668548027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 82668548027520 in words is "eighty-two trillion, six hundred sixty-eight billion, five hundred forty-eight million, twenty-seven thousand, five hundred twenty".