966163768560 has 200 divisors, whose sum is σ = 3359735650656. Its totient is φ = 257328437760.

The previous prime is 966163768553. The next prime is 966163768567. The reversal of 966163768560 is 65867361669.

It is a happy number.

966163768560 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 6 + 3 + 7 + 68 + 560 = 666.

966163768560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966163768553) and next prime (966163768567).

It is a super-2 number, since 2×966163768560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966163768567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5229277 + ... + 5410883.

Almost surely, 2^966163768560 is an apocalyptic number.

966163768560 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 966163768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679867825328).

966163768560 is an abundant number, since it is smaller than the sum of its proper divisors (2393571882096).

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

966163768560 is a wasteful number, since it uses less digits than its factorization.

966163768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182453 (or 182438 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 966163768560 in words is "nine hundred sixty-six billion, one hundred sixty-three million, seven hundred sixty-eight thousand, five hundred sixty".