82689859584 has 168 divisors, whose sum is σ = 247720134480. Its totient is φ = 27562622976.

The previous prime is 82689859583. The next prime is 82689859589. The reversal of 82689859584 is 48595898628.

82689859584 is a `hidden beast` number, since 8 + 26 + 8 + 9 + 8 + 595 + 8 + 4 = 666.

It is a super-2 number, since 2×82689859584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82689859583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1969887 + ... + 2011425.

It is an arithmetic number, because the mean of its divisors is an integer number (1474524610).

Almost surely, 2^82689859584 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 82689859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123860067240).

82689859584 is an abundant number, since it is smaller than the sum of its proper divisors (165030274896).

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

82689859584 is an frugal number, since it uses more digits than its factorization.

82689859584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41580 (or 41544 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 82689859584 in words is "eighty-two billion, six hundred eighty-nine million, eight hundred fifty-nine thousand, five hundred eighty-four".