1966092170880 has 512 divisors, whose sum is σ = 6875686632960. Its totient is φ = 475832254464.

The previous prime is 1966092170849. The next prime is 1966092170893. The reversal of 1966092170880 is 880712906691.

It is a super-2 number, since 2×1966092170880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1966092170880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136460637 + ... + 136475043.

It is an arithmetic number, because the mean of its divisors is an integer number (13429075455).

Almost surely, 2^{1966092170880} is an apocalyptic number.

1966092170880 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 1966092170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437843316480).

1966092170880 is an abundant number, since it is smaller than the sum of its proper divisors (4909594462080).

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

1966092170880 is a wasteful number, since it uses less digits than its factorization.

1966092170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14596 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 1966092170880 in words is "one trillion, nine hundred sixty-six billion, ninety-two million, one hundred seventy thousand, eight hundred eighty".