8580383342400 has 336 divisors, whose sum is σ = 28648651993920. Its totient is φ = 2247965491200.

The previous prime is 8580383342371. The next prime is 8580383342477. The reversal of 8580383342400 is 42433830858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8580383342400.

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, 67006435 + ... + 67134365.

It is an arithmetic number, because the mean of its divisors is an integer number (85263845220).

Almost surely, 2^{8580383342400} is an apocalyptic number.

8580383342400 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 8580383342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324325996960).

8580383342400 is an abundant number, since it is smaller than the sum of its proper divisors (20068268651520).

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

8580383342400 is a wasteful number, since it uses less digits than its factorization.

8580383342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128202 (or 128187 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 8580383342400 in words is "eight trillion, five hundred eighty billion, three hundred eighty-three million, three hundred forty-two thousand, four hundred".