1066211475840 has 1280 divisors, whose sum is σ = 4568238259200. Its totient is φ = 231825162240.

The previous prime is 1066211475779. The next prime is 1066211475841. The reversal of 1066211475840 is 485741126601.

1066211475840 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 21 + 1 + 47 + 584 + 0 = 666.

It is a super-2 number, since 2×1066211475840² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066211475841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 747169207 + ... + 747170633.

It is an arithmetic number, because the mean of its divisors is an integer number (3568936140).

Almost surely, 2^{1066211475840} is an apocalyptic number.

1066211475840 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 1066211475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284119129600).

1066211475840 is an abundant number, since it is smaller than the sum of its proper divisors (3502026783360).

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

1066211475840 is a wasteful number, since it uses less digits than its factorization.

1066211475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1066211475840 in words is "one trillion, sixty-six billion, two hundred eleven million, four hundred seventy-five thousand, eight hundred forty".