1966210557696 has 1296 divisors, whose sum is σ = 7670092405248. Its totient is φ = 487760486400.

The previous prime is 1966210557691. The next prime is 1966210557721. The reversal of 1966210557696 is 6967550126691.

1966210557696 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 2 + 10 + 557 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966210557691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2974599606 + ... + 2974600266.

Almost surely, 2^{1966210557696} is an apocalyptic number.

1966210557696 is a gapful number since it is divisible by the number (16) 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 1966210557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835046202624).

1966210557696 is an abundant number, since it is smaller than the sum of its proper divisors (5703881847552).

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

1966210557696 is an frugal number, since it uses more digits than its factorization.

1966210557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 1966210557696 in words is "one trillion, nine hundred sixty-six billion, two hundred ten million, five hundred fifty-seven thousand, six hundred ninety-six".