9961896506688 has 336 divisors, whose sum is σ = 32951414554240. Its totient is φ = 2818598694912.

The previous prime is 9961896506659. The next prime is 9961896506693. The reversal of 9961896506688 is 8866056981699.

9961896506688 is a `hidden beast` number, since 9 + 9 + 6 + 18 + 96 + 506 + 6 + 8 + 8 = 666.

9961896506688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222475470 + ... + 222520242.

Almost surely, 2^{9961896506688} 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 9961896506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475707277120).

9961896506688 is an abundant number, since it is smaller than the sum of its proper divisors (22989518047552).

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

9961896506688 is a wasteful number, since it uses less digits than its factorization.

9961896506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45334 (or 45321 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 9961896506688 in words is "nine trillion, nine hundred sixty-one billion, eight hundred ninety-six million, five hundred six thousand, six hundred eighty-eight".