10284211536 has 80 divisors (see below), whose sum is σ = 28678700160. Its totient is φ = 3165944320.

The previous prime is 10284211519. The next prime is 10284211579. The reversal of 10284211536 is 63511248201.

10284211536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10284211497 and 10284211506.

It is a congruent number.

It is an unprimeable number.

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, 128595 + ... + 192626.

It is an arithmetic number, because the mean of its divisors is an integer number (358483752).

Almost surely, 2^10284211536 is an apocalyptic number.

10284211536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10284211536 is an abundant number, since it is smaller than the sum of its proper divisors (18394488624).

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

10284211536 is a wasteful number, since it uses less digits than its factorization.

10284211536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321284 (or 321278 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 10284211536 its reverse (63511248201), we get a palindrome (73795459737).

The spelling of 10284211536 in words is "ten billion, two hundred eighty-four million, two hundred eleven thousand, five hundred thirty-six".