10867212288 has 256 divisors, whose sum is σ = 32840899200. Its totient is φ = 3550740480.

The previous prime is 10867212283. The next prime is 10867212299. The reversal of 10867212288 is 88221276801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (10867212283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62816170 + ... + 62816342.

Almost surely, 2^10867212288 is an apocalyptic number.

10867212288 is a gapful number since it is divisible by the number (18) 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 10867212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420449600).

10867212288 is an abundant number, since it is smaller than the sum of its proper divisors (21973686912).

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

10867212288 is an frugal number, since it uses more digits than its factorization.

10867212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10867212288 in words is "ten billion, eight hundred sixty-seven million, two hundred twelve thousand, two hundred eighty-eight".