10061446605210 has 384 divisors, whose sum is σ = 36072893735424. Its totient is φ = 1877708666880.

The previous prime is 10061446605193. The next prime is 10061446605211. The reversal of 10061446605210 is 1250664416001.

10061446605210 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 4 + 46 + 605 + 2 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10061446605211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1824112 + ... + 4842548.

It is an arithmetic number, because the mean of its divisors is an integer number (93939827436).

Almost surely, 2^{10061446605210} is an apocalyptic number.

10061446605210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061446605210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036446867712).

10061446605210 is an abundant number, since it is smaller than the sum of its proper divisors (26011447130214).

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

10061446605210 is a wasteful number, since it uses less digits than its factorization.

10061446605210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018518 (or 3018515 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10061446605210 in words is "ten trillion, sixty-one billion, four hundred forty-six million, six hundred five thousand, two hundred ten".