9661161753600 has 792 divisors, whose sum is σ = 37592540048448. Its totient is φ = 2181589401600.

The previous prime is 9661161753589. The next prime is 9661161753601. The reversal of 9661161753600 is 63571611669.

It is a super-2 number, since 2×9661161753600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9661161753601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312330135 + ... + 312361065.

It is an arithmetic number, because the mean of its divisors is an integer number (47465328344).

Almost surely, 2^{9661161753600} 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 9661161753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796270024224).

9661161753600 is an abundant number, since it is smaller than the sum of its proper divisors (27931378294848).

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

9661161753600 is a wasteful number, since it uses less digits than its factorization.

9661161753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31061 (or 31031 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 9661161753600 in words is "nine trillion, six hundred sixty-one billion, one hundred sixty-one million, seven hundred fifty-three thousand, six hundred".