1066295377800 has 384 divisors, whose sum is σ = 3836325888000. Its totient is φ = 271709856000.

The previous prime is 1066295377793. The next prime is 1066295377801. The reversal of 1066295377800 is 87735926601.

1066295377800 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 29 + 537 + 7 + 80 + 0 = 666.

It is a super-2 number, since 2×1066295377800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1066295377801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142950471 + ... + 142957929.

It is an arithmetic number, because the mean of its divisors is an integer number (9990432000).

Almost surely, 2^{1066295377800} is an apocalyptic number.

1066295377800 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 1066295377800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918162944000).

1066295377800 is an abundant number, since it is smaller than the sum of its proper divisors (2770030510200).

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

1066295377800 is a wasteful number, since it uses less digits than its factorization.

1066295377800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1066295377800 in words is "one trillion, sixty-six billion, two hundred ninety-five million, three hundred seventy-seven thousand, eight hundred".