82191677268690 has 192 divisors, whose sum is σ = 234823714070400. Its totient is φ = 19780133068800.

The previous prime is 82191677268647. The next prime is 82191677268691. The reversal of 82191677268690 is 9686277619128.

82191677268690 is a `hidden beast` number, since 8 + 219 + 1 + 67 + 7 + 268 + 6 + 90 = 666.

It is a super-2 number, since 2×82191677268690² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82191677268691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2175457600 + ... + 2175495380.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040177450).

Almost surely, 2^{82191677268690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82191677268690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411857035200).

82191677268690 is an abundant number, since it is smaller than the sum of its proper divisors (152632036801710).

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

82191677268690 is a wasteful number, since it uses less digits than its factorization.

82191677268690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53753 (or 53750 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 82191677268690 in words is "eighty-two trillion, one hundred ninety-one billion, six hundred seventy-seven million, two hundred sixty-eight thousand, six hundred ninety".