10961203968 has 864 divisors, whose sum is σ = 41783938560. Its totient is φ = 2707292160.

The previous prime is 10961203933. The next prime is 10961203993. The reversal of 10961203968 is 86930216901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106419405 + ... + 106419507.

It is an arithmetic number, because the mean of its divisors is an integer number (48361040).

Almost surely, 2^10961203968 is an apocalyptic number.

10961203968 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 10961203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891969280).

10961203968 is an abundant number, since it is smaller than the sum of its proper divisors (30822734592).

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

10961203968 is a wasteful number, since it uses less digits than its factorization.

10961203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10961203968 in words is "ten billion, nine hundred sixty-one million, two hundred three thousand, nine hundred sixty-eight".