9961989120 has 616 divisors, whose sum is σ = 38178498744. Its totient is φ = 2484338688.

The previous prime is 9961989119. The next prime is 9961989133. The reversal of 9961989120 is 219891699.

9961989120 is a `hidden beast` number, since 9 + 9 + 619 + 8 + 9 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1254859776 + 8707129344 = 35424^2 + 93312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63452082 + ... + 63452238.

Almost surely, 2^9961989120 is an apocalyptic number.

9961989120 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 9961989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089249372).

9961989120 is an abundant number, since it is smaller than the sum of its proper divisors (28216509624).

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

9961989120 is a wasteful number, since it uses less digits than its factorization.

9961989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The square root of 9961989120 is about 99809.7646525629. The cubic root of 9961989120 is about 2151.7014921102.

The spelling of 9961989120 in words is "nine billion, nine hundred sixty-one million, nine hundred eighty-nine thousand, one hundred twenty".