10289136384 has 216 divisors, whose sum is σ = 30243612672. Its totient is φ = 3363747840.

The previous prime is 10289136359. The next prime is 10289136401. The reversal of 10289136384 is 48363198201.

10289136384 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 1 + 3 + 638 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45326479 + ... + 45326705.

Almost surely, 2^10289136384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10289136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121806336).

10289136384 is an abundant number, since it is smaller than the sum of its proper divisors (19954476288).

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

10289136384 is a wasteful number, since it uses less digits than its factorization.

10289136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10289136384 in words is "ten billion, two hundred eighty-nine million, one hundred thirty-six thousand, three hundred eighty-four".