10196084736 has 192 divisors, whose sum is σ = 31520361600. Its totient is φ = 3250520064.

The previous prime is 10196084711. The next prime is 10196084737. The reversal of 10196084736 is 63748069101.

It is a happy number.

10196084736 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 608 + 4 + 7 + 36 = 666.

10196084736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10196084691 and 10196084700.

It is not an unprimeable number, because it can be changed into a prime (10196084737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267800 + ... + 1275816.

It is an arithmetic number, because the mean of its divisors is an integer number (164168550).

Almost surely, 2^10196084736 is an apocalyptic number.

10196084736 is a gapful number since it is divisible by the number (16) 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 10196084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760180800).

10196084736 is an abundant number, since it is smaller than the sum of its proper divisors (21324276864).

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

10196084736 is an equidigital number, since it uses as much as digits as its factorization.

10196084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10196084736 in words is "ten billion, one hundred ninety-six million, eighty-four thousand, seven hundred thirty-six".