82532656680 has 256 divisors, whose sum is σ = 254349849600. Its totient is φ = 21420072960.

The previous prime is 82532656663. The next prime is 82532656697. The reversal of 82532656680 is 8665623528.

It is an interprime number because it is at equal distance from previous prime (82532656663) and next prime (82532656697).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233803384 + ... + 233803736.

It is an arithmetic number, because the mean of its divisors is an integer number (993554100).

Almost surely, 2^82532656680 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 82532656680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127174924800).

82532656680 is an abundant number, since it is smaller than the sum of its proper divisors (171817192920).

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

82532656680 is a wasteful number, since it uses less digits than its factorization.

82532656680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 82532656680 in words is "eighty-two billion, five hundred thirty-two million, six hundred fifty-six thousand, six hundred eighty".