9961004935350 has 576 divisors, whose sum is σ = 33268659240960. Its totient is φ = 2085170169600.

The previous prime is 9961004935279. The next prime is 9961004935361. The reversal of 9961004935350 is 535394001699.

9961004935350 is a `hidden beast` number, since 9 + 9 + 6 + 10 + 0 + 4 + 93 + 535 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2202298189 + ... + 2202302711.

It is an arithmetic number, because the mean of its divisors is an integer number (57758088960).

Almost surely, 2^{9961004935350} is an apocalyptic number.

9961004935350 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 9961004935350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634329620480).

9961004935350 is an abundant number, since it is smaller than the sum of its proper divisors (23307654305610).

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

9961004935350 is a wasteful number, since it uses less digits than its factorization.

9961004935350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 9961004935350 in words is "nine trillion, nine hundred sixty-one billion, four million, nine hundred thirty-five thousand, three hundred fifty".