9601768088800 has 144 divisors (see below), whose sum is σ = 24740181995760. Its totient is φ = 3628807741440.

The previous prime is 9601768088777. The next prime is 9601768088839. The reversal of 9601768088800 is 88808671069.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4822824 + ... + 6516376.

It is an arithmetic number, because the mean of its divisors is an integer number (171806819415).

Almost surely, 2^{9601768088800} 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 9601768088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370090997880).

9601768088800 is an abundant number, since it is smaller than the sum of its proper divisors (15138413906960).

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

9601768088800 is a wasteful number, since it uses less digits than its factorization.

9601768088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693965 (or 1693952 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 61.

The spelling of 9601768088800 in words is "nine trillion, six hundred one billion, seven hundred sixty-eight million, eighty-eight thousand, eight hundred".