9961360128 has 288 divisors, whose sum is σ = 31356595200. Its totient is φ = 3110400000.

The previous prime is 9961360117. The next prime is 9961360181. The reversal of 9961360128 is 8210631699.

It is a happy number.

9961360128 is a `hidden beast` number, since 9 + 9 + 6 + 13 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13263753 + ... + 13264503.

Almost surely, 2^9961360128 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 9961360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678297600).

9961360128 is an abundant number, since it is smaller than the sum of its proper divisors (21395235072).

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

9961360128 is a wasteful number, since it uses less digits than its factorization.

9961360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9961360128 is about 99806.6136485955. The cubic root of 9961360128 is about 2151.6562055884.

The spelling of 9961360128 in words is "nine billion, nine hundred sixty-one million, three hundred sixty thousand, one hundred twenty-eight".