10867221567 has 24 divisors (see below), whose sum is σ = 16147694160. Its totient is φ = 7037487360.

The previous prime is 10867221509. The next prime is 10867221571. The reversal of 10867221567 is 76512276801.

10867221567 is a `hidden beast` number, since 1 + 0 + 8 + 67 + 2 + 21 + 567 = 666.

It is not a de Polignac number, because 10867221567 - 2⁷ = 10867221439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10867221587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179767 + ... + 232487.

It is an arithmetic number, because the mean of its divisors is an integer number (672820590).

Almost surely, 2^10867221567 is an apocalyptic number.

10867221567 is a deficient number, since it is larger than the sum of its proper divisors (5280472593).

10867221567 is a wasteful number, since it uses less digits than its factorization.

10867221567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53383 (or 53380 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10867221567 in words is "ten billion, eight hundred sixty-seven million, two hundred twenty-one thousand, five hundred sixty-seven".