82839134741760 has 432 divisors, whose sum is σ = 295921403581440. Its totient is φ = 21373434593280.

The previous prime is 82839134741677. The next prime is 82839134741777. The reversal of 82839134741760 is 6714743193828.

82839134741760 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 91 + 3 + 474 + 1 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956639312 + ... + 1956681648.

Almost surely, 2^{82839134741760} is an apocalyptic number.

82839134741760 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 82839134741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147960701790720).

82839134741760 is an abundant number, since it is smaller than the sum of its proper divisors (213082268839680).

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

82839134741760 is a wasteful number, since it uses less digits than its factorization.

82839134741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47874 (or 47857 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 82839134741760 in words is "eighty-two trillion, eight hundred thirty-nine billion, one hundred thirty-four million, seven hundred forty-one thousand, seven hundred sixty".