9605215910400 has 480 divisors, whose sum is σ = 34706707200000. Its totient is φ = 2322354585600.

The previous prime is 9605215910383. The next prime is 9605215910413. The reversal of 9605215910400 is 40195125069.

It is a tau number, because it is divible by the number of its divisors (480).

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, 160059601 + ... + 160119599.

It is an arithmetic number, because the mean of its divisors is an integer number (72305640000).

Almost surely, 2^{9605215910400} 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 9605215910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353353600000).

9605215910400 is an abundant number, since it is smaller than the sum of its proper divisors (25101491289600).

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

9605215910400 is a wasteful number, since it uses less digits than its factorization.

9605215910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60420 (or 60399 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 9605215910400 in words is "nine trillion, six hundred five billion, two hundred fifteen million, nine hundred ten thousand, four hundred".