8358164320400 has 240 divisors, whose sum is σ = 20478285734400. Its totient is φ = 3277561774080.

The previous prime is 8358164320379. The next prime is 8358164320421. The reversal of 8358164320400 is 40234618538.

It is a Cunningham number, because it is equal to 2891049²-1.

It is an interprime number because it is at equal distance from previous prime (8358164320379) and next prime (8358164320421).

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 47 ways as a sum of consecutive naturals, for example, 8996947136 + ... + 8996948064.

It is an arithmetic number, because the mean of its divisors is an integer number (85326190560).

Almost surely, 2^{8358164320400} is an apocalyptic number.

8358164320400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8358164320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239142867200).

8358164320400 is an abundant number, since it is smaller than the sum of its proper divisors (12120121414000).

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

8358164320400 is a wasteful number, since it uses less digits than its factorization.

8358164320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

Adding to 8358164320400 its reverse (40234618538), we get a palindrome (8398398938938).

The spelling of 8358164320400 in words is "eight trillion, three hundred fifty-eight billion, one hundred sixty-four million, three hundred twenty thousand, four hundred".