9741856882800 has 480 divisors, whose sum is σ = 35949501798912. Its totient is φ = 2208937328640.

The previous prime is 9741856882781. The next prime is 9741856882829. The reversal of 9741856882800 is 82886581479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3287834119 + ... + 3287837081.

Almost surely, 2^{9741856882800} 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 9741856882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17974750899456).

9741856882800 is an abundant number, since it is smaller than the sum of its proper divisors (26207644916112).

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

9741856882800 is a wasteful number, since it uses less digits than its factorization.

9741856882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 66.

The spelling of 9741856882800 in words is "nine trillion, seven hundred forty-one billion, eight hundred fifty-six million, eight hundred eighty-two thousand, eight hundred".