9578400000000 has 864 divisors, whose sum is σ = 34487560467360. Its totient is φ = 2350080000000.

The previous prime is 9578399999981. The next prime is 9578400000011. The reversal of 9578400000000 is 48759.

It is a junction number, because it is equal to n+sod(n) for n = 9578399999898 and 9578399999907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31199999847 + ... + 31200000153.

Almost surely, 2^{9578400000000} 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 9578400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243780233680).

9578400000000 is an abundant number, since it is smaller than the sum of its proper divisors (24909160467360).

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

9578400000000 is an frugal number, since it uses more digits than its factorization.

9578400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 9578400000000 its reverse (48759), we get a palindrome (9578400048759).

The spelling of 9578400000000 in words is "nine trillion, five hundred seventy-eight billion, four hundred million", and thus it is an aban number.