82358817408 has 576 divisors, whose sum is σ = 289509292800. Its totient is φ = 22381277184.

The previous prime is 82358817391. The next prime is 82358817413. The reversal of 82358817408 is 80471885328.

82358817408 is a `hidden beast` number, since 8 + 2 + 3 + 588 + 17 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98162653 + ... + 98163491.

It is an arithmetic number, because the mean of its divisors is an integer number (502620300).

Almost surely, 2^82358817408 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 82358817408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144754646400).

82358817408 is an abundant number, since it is smaller than the sum of its proper divisors (207150475392).

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

82358817408 is a wasteful number, since it uses less digits than its factorization.

82358817408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 82358817408 in words is "eighty-two billion, three hundred fifty-eight million, eight hundred seventeen thousand, four hundred eight".