1966198911600 has 720 divisors, whose sum is σ = 8340337255680. Its totient is φ = 390794342400.

The previous prime is 1966198911539. The next prime is 1966198911637. The reversal of 1966198911600 is 61198916691.

It is a super-2 number, since 2×1966198911600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14810316 + ... + 14942484.

It is an arithmetic number, because the mean of its divisors is an integer number (11583801744).

Almost surely, 2^{1966198911600} is an apocalyptic number.

1966198911600 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 1966198911600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170168627840).

1966198911600 is an abundant number, since it is smaller than the sum of its proper divisors (6374138344080).

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

1966198911600 is a wasteful number, since it uses less digits than its factorization.

1966198911600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132238 (or 132220 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 57.

The spelling of 1966198911600 in words is "one trillion, nine hundred sixty-six billion, one hundred ninety-eight million, nine hundred eleven thousand, six hundred".