1066910256800 has 36 divisors (see below), whose sum is σ = 2604594666366. Its totient is φ = 426764102400.

The previous prime is 1066910256779. The next prime is 1066910256817. The reversal of 1066910256800 is 86520196601.

It can be written as a sum of positive squares in 3 ways, for example, as 1038434369296 + 28475887504 = 1019036^2 + 168748^2 .

It is a super-2 number, since 2×1066910256800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666818111 + ... + 666819710.

Almost surely, 2^{1066910256800} is an apocalyptic number.

1066910256800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066910256800 is an abundant number, since it is smaller than the sum of its proper divisors (1537684409566).

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

1066910256800 is a wasteful number, since it uses less digits than its factorization.

1066910256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637841 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 1066910256800 in words is "one trillion, sixty-six billion, nine hundred ten million, two hundred fifty-six thousand, eight hundred".