10966959360 has 1008 divisors, whose sum is σ = 47612968704. Its totient is φ = 2364899328.

The previous prime is 10966959323. The next prime is 10966959379. The reversal of 10966959360 is 6395966901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10966959297 and 10966959306.

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 111 ways as a sum of consecutive naturals, for example, 150232284 + ... + 150232356.

It is an arithmetic number, because the mean of its divisors is an integer number (47235088).

Almost surely, 2^10966959360 is an apocalyptic number.

10966959360 is a gapful number since it is divisible by the number (10) 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 10966959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806484352).

10966959360 is an abundant number, since it is smaller than the sum of its proper divisors (36646009344).

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

10966959360 is an frugal number, since it uses more digits than its factorization.

10966959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 10966959360 in words is "ten billion, nine hundred sixty-six million, nine hundred fifty-nine thousand, three hundred sixty".