9961701120 has 864 divisors, whose sum is σ = 42426768384. Its totient is φ = 2108620800.

The previous prime is 9961701109. The next prime is 9961701133. The reversal of 9961701120 is 211071699.

9961701120 is a `hidden beast` number, since 9 + 9 + 617 + 0 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 76043455 + ... + 76043585.

It is an arithmetic number, because the mean of its divisors is an integer number (49105056).

Almost surely, 2^9961701120 is an apocalyptic number.

9961701120 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 9961701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213384192).

9961701120 is an abundant number, since it is smaller than the sum of its proper divisors (32465067264).

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

9961701120 is a wasteful number, since it uses less digits than its factorization.

9961701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 9961701120 is about 99808.3218975252. The cubic root of 9961701120 is about 2151.6807567599.

The spelling of 9961701120 in words is "nine billion, nine hundred sixty-one million, seven hundred one thousand, one hundred twenty".