82068280971600 has 1920 divisors, whose sum is σ = 346220985581568. Its totient is φ = 16112052633600.

The previous prime is 82068280971581. The next prime is 82068280971683. The reversal of 82068280971600 is 617908286028.

It is a super-3 number, since 3×82068280971600³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135203098497 + ... + 135203099103.

Almost surely, 2^{82068280971600} is an apocalyptic number.

82068280971600 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 82068280971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173110492790784).

82068280971600 is an abundant number, since it is smaller than the sum of its proper divisors (264152704609968).

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

82068280971600 is a wasteful number, since it uses less digits than its factorization.

82068280971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 82068280971600 in words is "eighty-two trillion, sixty-eight billion, two hundred eighty million, nine hundred seventy-one thousand, six hundred".