1066195353600 has 1296 divisors, whose sum is σ = 4306879467072. Its totient is φ = 259900047360.

The previous prime is 1066195353589. The next prime is 1066195353617. The reversal of 1066195353600 is 63535916601.

1066195353600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 9 + 5 + 35 + 3 + 600 = 666.

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

It is a super-2 number, since 2×1066195353600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10351411149 + ... + 10351411251.

Almost surely, 2^{1066195353600} is an apocalyptic number.

1066195353600 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 1066195353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153439733536).

1066195353600 is an abundant number, since it is smaller than the sum of its proper divisors (3240684113472).

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

1066195353600 is an frugal number, since it uses more digits than its factorization.

1066195353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 1066195353600 in words is "one trillion, sixty-six billion, one hundred ninety-five million, three hundred fifty-three thousand, six hundred".