9910963350 has 288 divisors, whose sum is σ = 29596320000. Its totient is φ = 2366496000.

The previous prime is 9910963313. The next prime is 9910963357. The reversal of 9910963350 is 533690199.

9910963350 is a `hidden beast` number, since 9 + 9 + 1 + 0 + 9 + 633 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9910963296 and 9910963305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9910963357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19861401 + ... + 19861899.

It is an arithmetic number, because the mean of its divisors is an integer number (102765000).

Almost surely, 2^9910963350 is an apocalyptic number.

9910963350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9910963350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160000).

9910963350 is an abundant number, since it is smaller than the sum of its proper divisors (19685356650).

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

9910963350 is a wasteful number, since it uses less digits than its factorization.

9910963350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 9910963350 is about 99553.8213731648. The cubic root of 9910963350 is about 2148.0214969812.

The spelling of 9910963350 in words is "nine billion, nine hundred ten million, nine hundred sixty-three thousand, three hundred fifty".