82741817088 has 216 divisors, whose sum is σ = 284631374160. Its totient is φ = 23640422400.

The previous prime is 82741817009. The next prime is 82741817089. The reversal of 82741817088 is 88071814728.

It is a happy number.

82741817088 is a `hidden beast` number, since 82 + 7 + 418 + 1 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82741817089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216538 + ... + 460838.

Almost surely, 2^82741817088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82741817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142315687080).

82741817088 is an abundant number, since it is smaller than the sum of its proper divisors (201889557072).

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

82741817088 is a wasteful number, since it uses less digits than its factorization.

82741817088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244340 (or 244313 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 82741817088 in words is "eighty-two billion, seven hundred forty-one million, eight hundred seventeen thousand, eighty-eight".