10965863916 has 288 divisors, whose sum is σ = 34753904640. Its totient is φ = 2955610944.

The previous prime is 10965863911. The next prime is 10965863941. The reversal of 10965863916 is 61936856901.

10965863916 is a `hidden beast` number, since 10 + 9 + 6 + 586 + 39 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10965863911) 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, 12362425 + ... + 12363311.

It is an arithmetic number, because the mean of its divisors is an integer number (120673280).

Almost surely, 2^10965863916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10965863916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376952320).

10965863916 is an abundant number, since it is smaller than the sum of its proper divisors (23788040724).

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

10965863916 is a wasteful number, since it uses less digits than its factorization.

10965863916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10965863916 in words is "ten billion, nine hundred sixty-five million, eight hundred sixty-three thousand, nine hundred sixteen".