9657217861200 has 720 divisors, whose sum is σ = 43060138349760. Its totient is φ = 2037565393920.

The previous prime is 9657217861163. The next prime is 9657217861201. The reversal of 9657217861200 is 21687127569.

9657217861200 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 2 + 17 + 8 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9657217861201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6177727 + ... + 7581473.

It is an arithmetic number, because the mean of its divisors is an integer number (59805747708).

Almost surely, 2^{9657217861200} is an apocalyptic number.

9657217861200 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 9657217861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530069174880).

9657217861200 is an abundant number, since it is smaller than the sum of its proper divisors (33402920488560).

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

9657217861200 is a wasteful number, since it uses less digits than its factorization.

9657217861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403801 (or 1403777 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 9657217861200 in words is "nine trillion, six hundred fifty-seven billion, two hundred seventeen million, eight hundred sixty-one thousand, two hundred".