966000960000 has 300 divisors, whose sum is σ = 3483825429942. Its totient is φ = 257599488000.

The previous prime is 966000959983. The next prime is 966000960007. The reversal of 966000960000 is 69000669.

It can be written as a sum of positive squares in 5 ways, for example, as 1614110976 + 964386849024 = 40176^2 + 982032^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 (966000960007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2712292 + ... + 3047708.

Almost surely, 2^966000960000 is an apocalyptic number.

966000960000 is a gapful number since it is divisible by the number (90) 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 966000960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741912714971).

966000960000 is an abundant number, since it is smaller than the sum of its proper divisors (2517824469942).

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

966000960000 is an equidigital number, since it uses as much as digits as its factorization.

966000960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335461 (or 335427 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Adding to 966000960000 its reverse (69000669), we get a palindrome (966069960669).

The spelling of 966000960000 in words is "nine hundred sixty-six billion, nine hundred sixty thousand".