1966958273280 has 2304 divisors, whose sum is σ = 9228267159552. Its totient is φ = 343277568000.

The previous prime is 1966958273261. The next prime is 1966958273309. The reversal of 1966958273280 is 823728596691.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2025703195 + ... + 2025704165.

It is an arithmetic number, because the mean of its divisors is an integer number (4005324288).

Almost surely, 2^{1966958273280} is an apocalyptic number.

1966958273280 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 1966958273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614133579776).

1966958273280 is an abundant number, since it is smaller than the sum of its proper divisors (7261308886272).

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

1966958273280 is a wasteful number, since it uses less digits than its factorization.

1966958273280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 1966958273280 in words is "one trillion, nine hundred sixty-six billion, nine hundred fifty-eight million, two hundred seventy-three thousand, two hundred eighty".