82458528600 has 192 divisors, whose sum is σ = 298933367040. Its totient is φ = 18409305600.

The previous prime is 82458528541. The next prime is 82458528673. The reversal of 82458528600 is 682585428.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82458528600.

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, 47691 + ... + 408890.

It is an arithmetic number, because the mean of its divisors is an integer number (1556944620).

Almost surely, 2^82458528600 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 82458528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149466683520).

82458528600 is an abundant number, since it is smaller than the sum of its proper divisors (216474838440).

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

82458528600 is a wasteful number, since it uses less digits than its factorization.

82458528600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456650 (or 456641 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 82458528600 in words is "eighty-two billion, four hundred fifty-eight million, five hundred twenty-eight thousand, six hundred".