82984135680 has 264 divisors, whose sum is σ = 297457758000. Its totient is φ = 21365686272.

The previous prime is 82984135673. The next prime is 82984135681. The reversal of 82984135680 is 8653148928.

82984135680 is a `hidden beast` number, since 82 + 98 + 413 + 5 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (82984135681) 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, 1305271 + ... + 1367369.

Almost surely, 2^82984135680 is an apocalyptic number.

82984135680 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 82984135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148728879000).

82984135680 is an abundant number, since it is smaller than the sum of its proper divisors (214473622320).

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

82984135680 is a wasteful number, since it uses less digits than its factorization.

82984135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62159 (or 62138 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 82984135680 in words is "eighty-two billion, nine hundred eighty-four million, one hundred thirty-five thousand, six hundred eighty".