10966101984 has 72 divisors (see below), whose sum is σ = 31198435632. Its totient is φ = 3653775360.

The previous prime is 10966101983. The next prime is 10966102001. The reversal of 10966101984 is 48910166901.

10966101984 is a `hidden beast` number, since 10 + 9 + 6 + 610 + 19 + 8 + 4 = 666.

10966101984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966101983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785949 + ... + 799779.

It is an arithmetic number, because the mean of its divisors is an integer number (433311606).

Almost surely, 2^10966101984 is an apocalyptic number.

It is an amenable number.

10966101984 is an abundant number, since it is smaller than the sum of its proper divisors (20232333648).

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

10966101984 is a wasteful number, since it uses less digits than its factorization.

10966101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10966101984 in words is "ten billion, nine hundred sixty-six million, one hundred one thousand, nine hundred eighty-four".