10967853006 has 64 divisors (see below), whose sum is σ = 26715052800. Its totient is φ = 3307802400.

The previous prime is 10967852947. The next prime is 10967853011. The reversal of 10967853006 is 60035876901.

It is a happy number.

10967853006 is a `hidden beast` number, since 109 + 6 + 7 + 8 + 530 + 0 + 6 = 666.

It is a super-3 number, since 3×10967853006³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81580 + ... + 169088.

It is an arithmetic number, because the mean of its divisors is an integer number (417422700).

Almost surely, 2^10967853006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10967853006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357526400).

10967853006 is an abundant number, since it is smaller than the sum of its proper divisors (15747199794).

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

10967853006 is a wasteful number, since it uses less digits than its factorization.

10967853006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87742 (or 87736 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10967853006 in words is "ten billion, nine hundred sixty-seven million, eight hundred fifty-three thousand, six".