1966049771520 has 480 divisors, whose sum is σ = 6704423889408. Its totient is φ = 490242834432.

The previous prime is 1966049771489. The next prime is 1966049771557. The reversal of 1966049771520 is 251779406691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1966049771520² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680999517 + ... + 681002403.

Almost surely, 2^{1966049771520} is an apocalyptic number.

1966049771520 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 1966049771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352211944704).

1966049771520 is an abundant number, since it is smaller than the sum of its proper divisors (4738374117888).

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

1966049771520 is a wasteful number, since it uses less digits than its factorization.

1966049771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 1966049771520 in words is "one trillion, nine hundred sixty-six billion, forty-nine million, seven hundred seventy-one thousand, five hundred twenty".