82689445080 has 256 divisors, whose sum is σ = 300921868800. Its totient is φ = 20030400000.

The previous prime is 82689445061. The next prime is 82689445081. The reversal of 82689445080 is 8054498628.

82689445080 is a `hidden beast` number, since 8 + 26 + 8 + 94 + 450 + 80 = 666.

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 (82689445081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25433455 + ... + 25436705.

It is an arithmetic number, because the mean of its divisors is an integer number (1175476050).

Almost surely, 2^82689445080 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 82689445080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150460934400).

82689445080 is an abundant number, since it is smaller than the sum of its proper divisors (218232423720).

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

82689445080 is a wasteful number, since it uses less digits than its factorization.

82689445080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 82689445080 in words is "eighty-two billion, six hundred eighty-nine million, four hundred forty-five thousand, eighty".