1066687903872 has 48 divisors (see below), whose sum is σ = 3069505560030. Its totient is φ = 355562634240.

The previous prime is 1066687903871. The next prime is 1066687903901. The reversal of 1066687903872 is 2783097866601.

It can be written as a sum of positive squares in only one way, i.e., 806073569856 + 260614334016 = 897816^2 + 510504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1066687903872² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1066687903871) by changing a digit.

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, 462971029 + ... + 462973332.

Almost surely, 2^{1066687903872} is an apocalyptic number.

1066687903872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066687903872 is an abundant number, since it is smaller than the sum of its proper divisors (2002817656158).

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

1066687903872 is an equidigital number, since it uses as much as digits as its factorization.

1066687903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925944381 (or 925944366 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1066687903872 in words is "one trillion, sixty-six billion, six hundred eighty-seven million, nine hundred three thousand, eight hundred seventy-two".