10965820320 has 576 divisors, whose sum is σ = 46781280000. Its totient is φ = 2277310464.

The previous prime is 10965820297. The next prime is 10965820321. The reversal of 10965820320 is 2302856901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10965820321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8779056 + ... + 8780304.

It is an arithmetic number, because the mean of its divisors is an integer number (81217500).

Almost surely, 2^10965820320 is an apocalyptic number.

10965820320 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 10965820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640000).

10965820320 is an abundant number, since it is smaller than the sum of its proper divisors (35815459680).

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

10965820320 is a wasteful number, since it uses less digits than its factorization.

10965820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10965820320 in words is "ten billion, nine hundred sixty-five million, eight hundred twenty thousand, three hundred twenty".