9608882400000 has 1296 divisors, whose sum is σ = 37532623695840. Its totient is φ = 2350080000000.

The previous prime is 9608882399959. The next prime is 9608882400011. The reversal of 9608882400000 is 42888069.

It is a happy number.

9608882400000 is a `hidden beast` number, since 96 + 0 + 88 + 82 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23493599796 + ... + 23493600204.

It is an arithmetic number, because the mean of its divisors is an integer number (28960357790).

Almost surely, 2^{9608882400000} is an apocalyptic number.

9608882400000 is a gapful number since it is divisible by the number (90) 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 9608882400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766311847920).

9608882400000 is an abundant number, since it is smaller than the sum of its proper divisors (27923741295840).

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

9608882400000 is a wasteful number, since it uses less digits than its factorization.

9608882400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 9608882400000 in words is "nine trillion, six hundred eight billion, eight hundred eighty-two million, four hundred thousand".