10967405568 has 352 divisors, whose sum is σ = 37258675200. Its totient is φ = 2792226816.

The previous prime is 10967405539. The next prime is 10967405573. The reversal of 10967405568 is 86550476901.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10967405568.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6945003 + ... + 6946581.

Almost surely, 2^10967405568 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 10967405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629337600).

10967405568 is an abundant number, since it is smaller than the sum of its proper divisors (26291269632).

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

10967405568 is a wasteful number, since it uses less digits than its factorization.

10967405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 10967405568 in words is "ten billion, nine hundred sixty-seven million, four hundred five thousand, five hundred sixty-eight".