1966361218920 has 768 divisors, whose sum is σ = 7739054668800. Its totient is φ = 423305625600.

The previous prime is 1966361218753. The next prime is 1966361218931. The reversal of 1966361218920 is 298121636691.

1966361218920 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 3 + 612 + 18 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1511422270 + ... + 1511423570.

It is an arithmetic number, because the mean of its divisors is an integer number (10076894100).

Almost surely, 2^{1966361218920} is an apocalyptic number.

1966361218920 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 1966361218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869527334400).

1966361218920 is an abundant number, since it is smaller than the sum of its proper divisors (5772693449880).

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

1966361218920 is a wasteful number, since it uses less digits than its factorization.

1966361218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1966361218920 in words is "one trillion, nine hundred sixty-six billion, three hundred sixty-one million, two hundred eighteen thousand, nine hundred twenty".