1966894997760 has 2592 divisors, whose sum is σ = 9260149046400. Its totient is φ = 393419980800.

The previous prime is 1966894997741. The next prime is 1966894997797. The reversal of 1966894997760 is 677994986691.

1966894997760 is a `hidden beast` number, since 1 + 9 + 6 + 68 + 9 + 499 + 7 + 7 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1966894997760.

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 287 ways as a sum of consecutive naturals, for example, 5942280795 + ... + 5942281125.

Almost surely, 2^{1966894997760} is an apocalyptic number.

1966894997760 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 1966894997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630074523200).

1966894997760 is an abundant number, since it is smaller than the sum of its proper divisors (7293254048640).

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

1966894997760 is a wasteful number, since it uses less digits than its factorization.

1966894997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 1966894997760 in words is "one trillion, nine hundred sixty-six billion, eight hundred ninety-four million, nine hundred ninety-seven thousand, seven hundred sixty".