1067089000000 has 147 divisors (see below), whose sum is σ = 2649411809751. Its totient is φ = 426422400000.

The previous prime is 1067088999979. The next prime is 1067089000013. The reversal of 1067089000000 is 9807601.

The square root of 1067089000000 is 1033000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1035558605376 + 31530394624 = 1017624^2 + 177568^2 .

It is a super-2 number, since 2×1067089000000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1032999484 + ... + 1033000516.

Almost surely, 2^{1067089000000} is an apocalyptic number.

1067089000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1067089000000 is the 1033000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067089000000

1067089000000 is an abundant number, since it is smaller than the sum of its proper divisors (1582322809751).

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

1067089000000 is an frugal number, since it uses more digits than its factorization.

1067089000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 1067089000000 in words is "one trillion, sixty-seven billion, eighty-nine million", and thus it is an aban number and an uban number.