966178160640000 has 7200 divisors, whose sum is σ = 4718321940068352. Its totient is φ = 191102976000000.

The previous prime is 966178160639971. The next prime is 966178160640001. The reversal of 966178160640000 is 46061871669.

It is a happy number.

966178160640000 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 78 + 160 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966178160640001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 15838986239970 + ... + 15838986240030.

Almost surely, 2^{966178160640000} is an apocalyptic number.

966178160640000 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 966178160640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359160970034176).

966178160640000 is an abundant number, since it is smaller than the sum of its proper divisors (3752143779428352).

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

966178160640000 is an frugal number, since it uses more digits than its factorization.

966178160640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 966178160640000 in words is "nine hundred sixty-six trillion, one hundred seventy-eight billion, one hundred sixty million, six hundred forty thousand".