10287559832 has 64 divisors (see below), whose sum is σ = 21429394560. Its totient is φ = 4590950400.

The previous prime is 10287559831. The next prime is 10287559871. The reversal of 10287559832 is 23895578201.

It is a happy number.

10287559832 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 (10287559831) 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, 1186232 + ... + 1194872.

It is an arithmetic number, because the mean of its divisors is an integer number (334834290).

Almost surely, 2^10287559832 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 10287559832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714697280).

10287559832 is an abundant number, since it is smaller than the sum of its proper divisors (11141834728).

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

10287559832 is a wasteful number, since it uses less digits than its factorization.

10287559832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 10287559832 in words is "ten billion, two hundred eighty-seven million, five hundred fifty-nine thousand, eight hundred thirty-two".