10082635216 has 40 divisors (see below), whose sum is σ = 19749430400. Its totient is φ = 4986282240.

The previous prime is 10082635201. The next prime is 10082635217. The reversal of 10082635216 is 61253628001.

10082635216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082635217) 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 7 ways as a sum of consecutive naturals, for example, 594340 + ... + 611068.

It is an arithmetic number, because the mean of its divisors is an integer number (493735760).

Almost surely, 2^10082635216 is an apocalyptic number.

10082635216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10082635216 is a deficient number, since it is larger than the sum of its proper divisors (9666795184).

10082635216 is a wasteful number, since it uses less digits than its factorization.

10082635216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10082635216 in words is "ten billion, eighty-two million, six hundred thirty-five thousand, two hundred sixteen".