966007173120 has 832 divisors, whose sum is σ = 3616755577344. Its totient is φ = 217537576960.

The previous prime is 966007173097. The next prime is 966007173121. The reversal of 966007173120 is 21371700669.

It is not an unprimeable number, because it can be changed into a prime (966007173121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953609734 + ... + 953610746.

It is an arithmetic number, because the mean of its divisors is an integer number (4347061992).

Almost surely, 2^966007173120 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 966007173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808377788672).

966007173120 is an abundant number, since it is smaller than the sum of its proper divisors (2650748404224).

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

966007173120 is a wasteful number, since it uses less digits than its factorization.

966007173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

Adding to 966007173120 its reverse (21371700669), we get a palindrome (987378873789).

The spelling of 966007173120 in words is "nine hundred sixty-six billion, seven million, one hundred seventy-three thousand, one hundred twenty".