9738165189600 has 360 divisors, whose sum is σ = 35912240844480. Its totient is φ = 2567664506880.

The previous prime is 9738165189581. The next prime is 9738165189607. The reversal of 9738165189600 is 69815618379.

9738165189600 is a `hidden beast` number, since 9 + 7 + 3 + 8 + 1 + 6 + 5 + 18 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×9738165189600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9738165189607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4922929 + ... + 6611471.

It is an arithmetic number, because the mean of its divisors is an integer number (99756224568).

Almost surely, 2^{9738165189600} is an apocalyptic number.

9738165189600 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 9738165189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956120422240).

9738165189600 is an abundant number, since it is smaller than the sum of its proper divisors (26174075654880).

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

9738165189600 is a wasteful number, since it uses less digits than its factorization.

9738165189600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688664 (or 1688642 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 9738165189600 in words is "nine trillion, seven hundred thirty-eight billion, one hundred sixty-five million, one hundred eighty-nine thousand, six hundred".