10963968000 has 448 divisors, whose sum is σ = 37784178432. Its totient is φ = 2821324800.

The previous prime is 10963967999. The next prime is 10963968007. The reversal of 10963968000 is 86936901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10963968007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132095959 + ... + 132096041.

It is an arithmetic number, because the mean of its divisors is an integer number (84339684).

Almost surely, 2^10963968000 is an apocalyptic number.

10963968000 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 10963968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892089216).

10963968000 is an abundant number, since it is smaller than the sum of its proper divisors (26820210432).

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

10963968000 is an frugal number, since it uses more digits than its factorization.

10963968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10963968000 in words is "ten billion, nine hundred sixty-three million, nine hundred sixty-eight thousand".