1966123854720 has 768 divisors, whose sum is σ = 7450329369600. Its totient is φ = 476001681408.

The previous prime is 1966123854713. The next prime is 1966123854791. The reversal of 1966123854720 is 274583216691.

It is a happy number.

1966123854720 is a `hidden beast` number, since 1 + 9 + 6 + 61 + 2 + 38 + 547 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271298137 + ... + 271305383.

It is an arithmetic number, because the mean of its divisors is an integer number (9700949700).

It is a 1-persistent number, because it is pandigital, but 2⋅1966123854720 = 3932247709440 is not.

Almost surely, 2^{1966123854720} is an apocalyptic number.

1966123854720 is a gapful number since it is divisible by the number (10) 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 1966123854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725164684800).

1966123854720 is an abundant number, since it is smaller than the sum of its proper divisors (5484205514880).

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

1966123854720 is a wasteful number, since it uses less digits than its factorization.

1966123854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1966123854720 in words is "one trillion, nine hundred sixty-six billion, one hundred twenty-three million, eight hundred fifty-four thousand, seven hundred twenty".