10960670448 has 540 divisors, whose sum is σ = 40679068248. Its totient is φ = 2730309120.

The previous prime is 10960670417. The next prime is 10960670471. The reversal of 10960670448 is 84407606901.

10960670448 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 an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 33113643 + ... + 33113973.

Almost surely, 2^10960670448 is an apocalyptic number.

10960670448 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 10960670448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339534124).

10960670448 is an abundant number, since it is smaller than the sum of its proper divisors (29718397800).

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

10960670448 is a wasteful number, since it uses less digits than its factorization.

10960670448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10960670448 in words is "ten billion, nine hundred sixty million, six hundred seventy thousand, four hundred forty-eight".