1066337395200 has 3600 divisors, whose sum is σ = 5333379695424. Its totient is φ = 204241305600.

The previous prime is 1066337395187. The next prime is 1066337395213. The reversal of 1066337395200 is 25937336601.

1066337395200 is a `hidden beast` number, since 1 + 0 + 6 + 63 + 37 + 39 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1066337395187) and next prime (1066337395213).

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×1066337395200² (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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 28819929582 + ... + 28819929618.

Almost surely, 2^{1066337395200} is an apocalyptic number.

1066337395200 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 1066337395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666689847712).

1066337395200 is an abundant number, since it is smaller than the sum of its proper divisors (4267042300224).

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

1066337395200 is a wasteful number, since it uses less digits than its factorization.

1066337395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 1066337395200 in words is "one trillion, sixty-six billion, three hundred thirty-seven million, three hundred ninety-five thousand, two hundred".