1966771445760 has 560 divisors, whose sum is σ = 7691934884832. Its totient is φ = 476784230400.

The previous prime is 1966771445753. The next prime is 1966771445773. The reversal of 1966771445760 is 675441776691.

1966771445760 is a `hidden beast` number, since 1 + 9 + 6 + 67 + 71 + 445 + 7 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36468415 + ... + 36522305.

Almost surely, 2^{1966771445760} is an apocalyptic number.

1966771445760 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 1966771445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845967442416).

1966771445760 is an abundant number, since it is smaller than the sum of its proper divisors (5725163439072).

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

1966771445760 is an equidigital number, since it uses as much as digits as its factorization.

1966771445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53945 (or 53912 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 1966771445760 in words is "one trillion, nine hundred sixty-six billion, seven hundred seventy-one million, four hundred forty-five thousand, seven hundred sixty".